413400304004 has 48 divisors (see below), whose sum is σ = 761709841200. Its totient is φ = 196123699200.

The previous prime is 413400303983. The next prime is 413400304069. The reversal of 413400304004 is 400403004314.

It can be written as a sum of positive squares in 8 ways, for example, as 302057961604 + 111342342400 = 549598^2 + 333680^2 .

It is a super-2 number, since 2×413400304004² (a number of 24 digits) contains 22 as substring.

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, 658202 + ... + 1122510.

It is an arithmetic number, because the mean of its divisors is an integer number (15868955025).

Almost surely, 2^413400304004 is an apocalyptic number.

It is an amenable number.

413400304004 is a deficient number, since it is larger than the sum of its proper divisors (348309537196).

413400304004 is a wasteful number, since it uses less digits than its factorization.

413400304004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464504 (or 464502 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 413400304004 its reverse (400403004314), we get a palindrome (813803308318).

The spelling of 413400304004 in words is "four hundred thirteen billion, four hundred million, three hundred four thousand, four".