413581669632 has 144 divisors (see below), whose sum is σ = 1238516832000. Its totient is φ = 136115306496.

The previous prime is 413581669573. The next prime is 413581669661. The reversal of 413581669632 is 236966185314.

413581669632 is a `hidden beast` number, since 41 + 358 + 166 + 96 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 15 ways as a sum of consecutive naturals, for example, 167344 + ... + 924752.

Almost surely, 2^413581669632 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 413581669632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619258416000).

413581669632 is an abundant number, since it is smaller than the sum of its proper divisors (824935162368).

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

413581669632 is an equidigital number, since it uses as much as digits as its factorization.

413581669632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757513 (or 757493 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 413581669632 in words is "four hundred thirteen billion, five hundred eighty-one million, six hundred sixty-nine thousand, six hundred thirty-two".