13460640400 has 45 divisors (see below), whose sum is σ = 32344764283. Its totient is φ = 5383328000.

The previous prime is 13460640397. The next prime is 13460640449. The reversal of 13460640400 is 404606431.

It is a happy number.

The square root of 13460640400 is 116020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3232149904 + 10228490496 = 56852^2 + 101136^2 .

It is a super-2 number, since 2×13460640400² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2317500 + ... + 2323300.

Almost surely, 2^13460640400 is an apocalyptic number.

13460640400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13460640400 is the 116020-th square number.

It is an amenable number.

13460640400 is an abundant number, since it is smaller than the sum of its proper divisors (18884123883).

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

13460640400 is an frugal number, since it uses more digits than its factorization.

13460640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11620 (or 5808 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 13460640400 in words is "thirteen billion, four hundred sixty million, six hundred forty thousand, four hundred".