431254112204520 has 768 divisors, whose sum is σ = 1564784282880000. Its totient is φ = 102123004262400.

The previous prime is 431254112204459. The next prime is 431254112204527. The reversal of 431254112204520 is 25402211452134.

431254112204520 is a `hidden beast` number, since 4 + 3 + 1 + 2 + 5 + 4 + 1 + 122 + 0 + 4 + 520 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (431254112204527) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37706920242 + ... + 37706931678.

It is an arithmetic number, because the mean of its divisors is an integer number (2037479535000).

Almost surely, 2^{431254112204520} is an apocalyptic number.

431254112204520 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 431254112204520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782392141440000).

431254112204520 is an abundant number, since it is smaller than the sum of its proper divisors (1133530170675480).

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

431254112204520 is a wasteful number, since it uses less digits than its factorization.

431254112204520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12534 (or 12527 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 431254112204520 its reverse (25402211452134), we get a palindrome (456656323656654).

The spelling of 431254112204520 in words is "four hundred thirty-one trillion, two hundred fifty-four billion, one hundred twelve million, two hundred four thousand, five hundred twenty".