13292440974400 has 567 divisors, whose sum is σ = 39492936750189. Its totient is φ = 4390456197120.

The previous prime is 13292440974361. The next prime is 13292440974401. The reversal of 13292440974400 is 447904429231.

It is a happy number.

The square root of 13292440974400 is 3645880.

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

It can be written as a sum of positive squares in 13 ways, for example, as 6718837253184 + 6573603721216 = 2592072^2 + 2563904^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13292440974401) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 29604545376 + ... + 29604545824.

Almost surely, 2^{13292440974400} is an apocalyptic number.

13292440974400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13292440974400 is the 3645880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13292440974400

13292440974400 is an abundant number, since it is smaller than the sum of its proper divisors (26200495775789).

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

13292440974400 is an frugal number, since it uses more digits than its factorization.

13292440974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

Multiplying 13292440974400 by its sum of digits (49), we get a square (651329607745600 = 25521160²).

13292440974400 divided by its sum of digits (49) gives a square (271274305600 = 520840²).

The spelling of 13292440974400 in words is "thirteen trillion, two hundred ninety-two billion, four hundred forty million, nine hundred seventy-four thousand, four hundred".