413014132544 has 56 divisors (see below), whose sum is σ = 887721297960. Its totient is φ = 189519980544.

The previous prime is 413014132543. The next prime is 413014132549. The reversal of 413014132544 is 445231410314.

It can be written as a sum of positive squares in 4 ways, for example, as 58703474944 + 354310657600 = 242288^2 + 595240^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 413014132544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413014132543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1290779 + ... + 1578650.

It is an arithmetic number, because the mean of its divisors is an integer number (15852166035).

Almost surely, 2^413014132544 is an apocalyptic number.

It is an amenable number.

413014132544 is an abundant number, since it is smaller than the sum of its proper divisors (474707165416).

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

413014132544 is a wasteful number, since it uses less digits than its factorization.

413014132544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869627 (or 2869617 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 413014132544 its reverse (445231410314), we get a palindrome (858245542858).

The spelling of 413014132544 in words is "four hundred thirteen billion, fourteen million, one hundred thirty-two thousand, five hundred forty-four".