431025873408 has 480 divisors, whose sum is σ = 1415609395200. Its totient is φ = 125301915648.

The previous prime is 431025873391. The next prime is 431025873419. The reversal of 431025873408 is 804378520134.

431025873408 is a `hidden beast` number, since 4 + 31 + 0 + 2 + 587 + 34 + 0 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81646513 + ... + 81651791.

It is an arithmetic number, because the mean of its divisors is an integer number (2949186240).

Almost surely, 2^431025873408 is an apocalyptic number.

431025873408 is a gapful number since it is divisible by the number (48) 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 431025873408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707804697600).

431025873408 is an abundant number, since it is smaller than the sum of its proper divisors (984583521792).

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

431025873408 is a wasteful number, since it uses less digits than its factorization.

431025873408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5392 (or 5373 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 431025873408 in words is "four hundred thirty-one billion, twenty-five million, eight hundred seventy-three thousand, four hundred eight".