431234112431304 has 1024 divisors, whose sum is σ = 1547312578560000. Its totient is φ = 108216557051904.

The previous prime is 431234112431281. The next prime is 431234112431323. The reversal of 431234112431304 is 403134211432134.

431234112431304 is a `hidden beast` number, since 4 + 3 + 1 + 2 + 341 + 1 + 2 + 4 + 3 + 1 + 304 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 60711542617 + ... + 60711549719.

It is an arithmetic number, because the mean of its divisors is an integer number (1511047440000).

Almost surely, 2^{431234112431304} 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 431234112431304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773656289280000).

431234112431304 is an abundant number, since it is smaller than the sum of its proper divisors (1116078466128696).

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

431234112431304 is a wasteful number, since it uses less digits than its factorization.

431234112431304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8699 (or 8689 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 431234112431304 its reverse (403134211432134), we get a palindrome (834368323863438).

The spelling of 431234112431304 in words is "four hundred thirty-one trillion, two hundred thirty-four billion, one hundred twelve million, four hundred thirty-one thousand, three hundred four".