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4430081040 = 24357112193137
BaseRepresentation
bin1000010000000110…
…11010110000010000
3102102201222102201120
410020003122300100
533033100043130
62011332002240
7214532032110
oct41003326020
912381872646
104430081040
111973735500
12a37760380
13557a65b38
14300509040
151addcb910
hex1080dac10

4430081040 has 960 divisors, whose sum is σ = 19252101120. Its totient is φ = 821145600.

The previous prime is 4430081027. The next prime is 4430081087. The reversal of 4430081040 is 401800344.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4430081040.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 119731902 + ... + 119731938.

It is an arithmetic number, because the mean of its divisors is an integer number (20054272).

Almost surely, 24430081040 is an apocalyptic number.

4430081040 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 4430081040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9626050560).

4430081040 is an abundant number, since it is smaller than the sum of its proper divisors (14822020080).

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

4430081040 is a wasteful number, since it uses less digits than its factorization.

4430081040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4430081040 is about 66558.8539564797. The cubic root of 4430081040 is about 1642.3683113888.

Adding to 4430081040 its reverse (401800344), we get a palindrome (4831881384).

The spelling of 4430081040 in words is "four billion, four hundred thirty million, eighty-one thousand, forty".