413894590510968 has 128 divisors (see below), whose sum is σ = 1314383174208000. Its totient is φ = 118216708899840.

The previous prime is 413894590510967. The next prime is 413894590510969. The reversal of 413894590510968 is 869015095498314.

413894590510968 is a `hidden beast` number, since 4 + 1 + 3 + 8 + 9 + 45 + 9 + 0 + 510 + 9 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (413894590510967) and next prime (413894590510969).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 413894590510896 and 413894590510905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413894590510963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40410198 + ... + 49606181.

It is an arithmetic number, because the mean of its divisors is an integer number (10268618548500).

Almost surely, 2^{413894590510968} is an apocalyptic number.

It is an amenable number.

413894590510968 is an abundant number, since it is smaller than the sum of its proper divisors (900488583697032).

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

413894590510968 is a wasteful number, since it uses less digits than its factorization.

413894590510968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90019442 (or 90019432 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 72.

The spelling of 413894590510968 in words is "four hundred thirteen trillion, eight hundred ninety-four billion, five hundred ninety million, five hundred ten thousand, nine hundred sixty-eight".