413004012960 has 192 divisors, whose sum is σ = 1621979541504. Its totient is φ = 85819008000.

The previous prime is 413004012931. The next prime is 413004012961. The reversal of 413004012960 is 69210400314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (413004012961) 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, 5550216 + ... + 5624135.

It is an arithmetic number, because the mean of its divisors is an integer number (8447810112).

Almost surely, 2^413004012960 is an apocalyptic number.

413004012960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413004012960 is an abundant number, since it is smaller than the sum of its proper divisors (1208975528544).

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

413004012960 is a wasteful number, since it uses less digits than its factorization.

413004012960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11174387 (or 11174379 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 413004012960 in words is "four hundred thirteen billion, four million, twelve thousand, nine hundred sixty".