431617495680 has 576 divisors, whose sum is σ = 1793583534600. Its totient is φ = 95251709952.

The previous prime is 431617495613. The next prime is 431617495691. The reversal of 431617495680 is 86594716134.

431617495680 is a `hidden beast` number, since 4 + 3 + 1 + 6 + 1 + 74 + 9 + 568 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 294640524864 + 136976970816 = 542808^2 + 370104^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8158594 + ... + 8211326.

Almost surely, 2^431617495680 is an apocalyptic number.

431617495680 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 431617495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896791767300).

431617495680 is an abundant number, since it is smaller than the sum of its proper divisors (1361966038920).

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

431617495680 is a wasteful number, since it uses less digits than its factorization.

431617495680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52801 (or 52779 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 431617495680 in words is "four hundred thirty-one billion, six hundred seventeen million, four hundred ninety-five thousand, six hundred eighty".