413191580544 has 640 divisors, whose sum is σ = 1339600680000. Its totient is φ = 126030643200.

The previous prime is 413191580471. The next prime is 413191580563. The reversal of 413191580544 is 445085191314.

413191580544 is a `hidden beast` number, since 4 + 1 + 3 + 19 + 1 + 580 + 54 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 413191580544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1030402744 + ... + 1030403144.

Almost surely, 2^413191580544 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 413191580544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669800340000).

413191580544 is an abundant number, since it is smaller than the sum of its proper divisors (926409099456).

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

413191580544 is a wasteful number, since it uses less digits than its factorization.

413191580544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 413191580544 in words is "four hundred thirteen billion, one hundred ninety-one million, five hundred eighty thousand, five hundred forty-four".