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4432001022040 = 235798391671671
BaseRepresentation
bin100000001111110011111…
…0110001011100001011000
3120200200202202211102111111
41000133213312023201120
51040103214230201130
613232011055110104
7635126055052354
oct100374766134130
916620682742444
104432001022040
111459668042519
125b6b50212334
13261c22243477
1411471d5d0464
157a446ee302a
hex407e7d8b858

4432001022040 has 64 divisors (see below), whose sum is σ = 10110272256000. Its totient is φ = 1748272606080.

The previous prime is 4432001022017. The next prime is 4432001022067. The reversal of 4432001022040 is 402201002344.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1815405 + ... + 3487075.

It is an arithmetic number, because the mean of its divisors is an integer number (157973004000).

Almost surely, 24432001022040 is an apocalyptic number.

4432001022040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4432001022040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5055136128000).

4432001022040 is an abundant number, since it is smaller than the sum of its proper divisors (5678271233960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4432001022040 is a wasteful number, since it uses less digits than its factorization.

4432001022040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672600 (or 1672596 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 4432001022040 its reverse (402201002344), we get a palindrome (4834202024384).

The spelling of 4432001022040 in words is "four trillion, four hundred thirty-two billion, one million, twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 790 839 1580 1678 3160 3356 4195 6712 8390 16780 33560 66281 132562 265124 331405 530248 662810 1325620 1671671 2651240 3343342 6686684 8358355 13373368 16716710 33433420 66866840 132062009 264124018 528248036 660310045 1056496072 1320620090 1402531969 2641240180 2805063938 5282480360 5610127876 7012659845 11220255752 14025319690 28050639380 56101278760 110800025551 221600051102 443200102204 554000127755 886400204408 1108000255510 2216000511020 4432001022040