441400441332032 has 56 divisors (see below), whose sum is σ = 1078035693267456. Its totient is φ = 174619954810368.

The previous prime is 441400441332023. The next prime is 441400441332127. The reversal of 441400441332032 is 230233144004144.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×441400441332032² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 441400441331983 and 441400441332001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37894949648 + ... + 37894961295.

It is an arithmetic number, because the mean of its divisors is an integer number (19250637379776).

Almost surely, 2^{441400441332032} is an apocalyptic number.

It is an amenable number.

441400441332032 is an abundant number, since it is smaller than the sum of its proper divisors (636635251935424).

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

441400441332032 is a wasteful number, since it uses less digits than its factorization.

441400441332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75789910975 (or 75789910965 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 441400441332032 its reverse (230233144004144), we get a palindrome (671633585336176).

The spelling of 441400441332032 in words is "four hundred forty-one trillion, four hundred billion, four hundred forty-one million, three hundred thirty-two thousand, thirty-two".