413658444672 has 512 divisors, whose sum is σ = 1413837504000. Its totient is φ = 118728529920.

The previous prime is 413658444659. The next prime is 413658444791. The reversal of 413658444672 is 276444856314.

413658444672 is a `hidden beast` number, since 4 + 13 + 6 + 584 + 4 + 46 + 7 + 2 = 666.

It is a super-2 number, since 2×413658444672² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87396418 + ... + 87401150.

It is an arithmetic number, because the mean of its divisors is an integer number (2761401375).

Almost surely, 2^413658444672 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 413658444672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706918752000).

413658444672 is an abundant number, since it is smaller than the sum of its proper divisors (1000179059328).

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

413658444672 is a wasteful number, since it uses less digits than its factorization.

413658444672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4808 (or 4768 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 413658444672 in words is "four hundred thirteen billion, six hundred fifty-eight million, four hundred forty-four thousand, six hundred seventy-two".