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4401034223040 = 2634572131914029
BaseRepresentation
bin100000000001011001000…
…0101001101110111000000
3120120201211122100001020000
41000002302011031313000
51034101304230114130
613205450205120000
7632651505442500
oct100026205156700
916521748301200
104401034223040
1114475170a2054
125b0b49559000
1325c028797170
141130229dba00
1579733595260
hex400b214ddc0

4401034223040 has 1680 divisors, whose sum is σ = 20645761197600. Its totient is φ = 879635054592.

The previous prime is 4401034223029. The next prime is 4401034223063. The reversal of 4401034223040 is 403224301044.

It is a happy number.

4401034223040 is a `hidden beast` number, since 4 + 4 + 0 + 10 + 342 + 2 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4401034222995 and 4401034223013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 313702746 + ... + 313716774.

It is an arithmetic number, because the mean of its divisors is an integer number (12289143570).

Almost surely, 24401034223040 is an apocalyptic number.

4401034223040 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 4401034223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10322880598800).

4401034223040 is an abundant number, since it is smaller than the sum of its proper divisors (16244726974560).

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

4401034223040 is a wasteful number, since it uses less digits than its factorization.

4401034223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14104 (or 14078 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 4401034223040 its reverse (403224301044), we get a palindrome (4804258524084).

The spelling of 4401034223040 in words is "four trillion, four hundred one billion, thirty-four million, two hundred twenty-three thousand, forty".