400432432411100 has 144 divisors (see below), whose sum is σ = 893873877014496. Its totient is φ = 155645908992000.

The previous prime is 400432432411087. The next prime is 400432432411147. The reversal of 400432432411100 is 1114234234004.

It is a super-2 number, since 2×400432432411100² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332526080 + ... + 333728120.

Almost surely, 2^{400432432411100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400432432411100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446936938507248).

400432432411100 is an abundant number, since it is smaller than the sum of its proper divisors (493441444603396).

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

400432432411100 is a wasteful number, since it uses less digits than its factorization.

400432432411100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202776 (or 1202769 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 400432432411100 its reverse (1114234234004), we get a palindrome (401546666645104).

The spelling of 400432432411100 in words is "four hundred trillion, four hundred thirty-two billion, four hundred thirty-two million, four hundred eleven thousand, one hundred".