10400440232100 has 72 divisors (see below), whose sum is σ = 30093684832288. Its totient is φ = 2773289952000.

The previous prime is 10400440232099. The next prime is 10400440232129. The reversal of 10400440232100 is 123204400401.

It is a super-3 number, since 3×10400440232100³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4224147 + ... + 6216453.

Almost surely, 2^{10400440232100} is an apocalyptic number.

10400440232100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400440232100 is an abundant number, since it is smaller than the sum of its proper divisors (19693244600188).

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

10400440232100 is a wasteful number, since it uses less digits than its factorization.

10400440232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009725 (or 2009718 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10400440232100 its reverse (123204400401), we get a palindrome (10523644632501).

The spelling of 10400440232100 in words is "ten trillion, four hundred billion, four hundred forty million, two hundred thirty-two thousand, one hundred".