431242004113120 has 192 divisors, whose sum is σ = 1046137256265024. Its totient is φ = 167921110056960.

The previous prime is 431242004113117. The next prime is 431242004113133. The reversal of 431242004113120 is 21311400242134.

It is a happy number.

It is a super-2 number, since 2×431242004113120² (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 31 ways as a sum of consecutive naturals, for example, 7079607784 + ... + 7079668696.

It is an arithmetic number, because the mean of its divisors is an integer number (5448631543047).

Almost surely, 2^{431242004113120} is an apocalyptic number.

431242004113120 is a gapful number since it is divisible by the number (40) 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 431242004113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523068628132512).

431242004113120 is an abundant number, since it is smaller than the sum of its proper divisors (614895252151904).

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

431242004113120 is a wasteful number, since it uses less digits than its factorization.

431242004113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67485 (or 67477 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 431242004113120 its reverse (21311400242134), we get a palindrome (452553404355254).

The spelling of 431242004113120 in words is "four hundred thirty-one trillion, two hundred forty-two billion, four million, one hundred thirteen thousand, one hundred twenty".