100440132224432 has 480 divisors, whose sum is σ = 267979178234880. Its totient is φ = 35476556544000.

The previous prime is 100440132224429. The next prime is 100440132224477. The reversal of 100440132224432 is 234422231044001.

It is a happy number.

It is a super-2 number, since 2×100440132224432² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12712327682 + ... + 12712335582.

It is an arithmetic number, because the mean of its divisors is an integer number (558289954656).

Almost surely, 2^{100440132224432} 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 100440132224432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133989589117440).

100440132224432 is an abundant number, since it is smaller than the sum of its proper divisors (167539046010448).

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

100440132224432 is a wasteful number, since it uses less digits than its factorization.

100440132224432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9233 (or 9216 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 100440132224432 its reverse (234422231044001), we get a palindrome (334862363268433).

The spelling of 100440132224432 in words is "one hundred trillion, four hundred forty billion, one hundred thirty-two million, two hundred twenty-four thousand, four hundred thirty-two".