431973263040 has 224 divisors, whose sum is σ = 1547792444160. Its totient is φ = 101109657600.

The previous prime is 431973263027. The next prime is 431973263053. The reversal of 431973263040 is 40362379134.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (431973263027) and next prime (431973263053).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 431973262983 and 431973263001.

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, 399046 + ... + 1011525.

Almost surely, 2^431973263040 is an apocalyptic number.

431973263040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431973263040 is an abundant number, since it is smaller than the sum of its proper divisors (1115819181120).

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

431973263040 is a wasteful number, since it uses less digits than its factorization.

431973263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410631 (or 1410621 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 431973263040 in words is "four hundred thirty-one billion, nine hundred seventy-three million, two hundred sixty-three thousand, forty".