13404616400 has 90 divisors (see below), whose sum is σ = 37462538070. Its totient is φ = 4595861760.

The previous prime is 13404616397. The next prime is 13404616427. The reversal of 13404616400 is 461640431.

It can be written as a sum of positive squares in 3 ways, for example, as 77299264 + 13327317136 = 8792^2 + 115444^2 .

It is a super-2 number, since 2×13404616400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 322355 + ... + 361554.

It is an arithmetic number, because the mean of its divisors is an integer number (416250423).

Almost surely, 2^13404616400 is an apocalyptic number.

13404616400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13404616400 is an abundant number, since it is smaller than the sum of its proper divisors (24057921670).

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

13404616400 is a wasteful number, since it uses less digits than its factorization.

13404616400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683941 (or 683923 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 13404616400 in words is "thirteen billion, four hundred four million, six hundred sixteen thousand, four hundred".