10431420881112 has 192 divisors, whose sum is σ = 35247689568000. Its totient is φ = 2707559205120.

The previous prime is 10431420881053. The next prime is 10431420881113. The reversal of 10431420881112 is 21118802413401.

10431420881112 is a `hidden beast` number, since 1 + 0 + 43 + 1 + 420 + 8 + 81 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10431420881113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7252014 + ... + 8570562.

It is an arithmetic number, because the mean of its divisors is an integer number (183581716500).

Almost surely, 2^{10431420881112} is an apocalyptic number.

10431420881112 is a gapful number since it is divisible by the number (12) 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 10431420881112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17623844784000).

10431420881112 is an abundant number, since it is smaller than the sum of its proper divisors (24816268686888).

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

10431420881112 is a wasteful number, since it uses less digits than its factorization.

10431420881112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320006 (or 1319999 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 10431420881112 in words is "ten trillion, four hundred thirty-one billion, four hundred twenty million, eight hundred eighty-one thousand, one hundred twelve".