1331439054400 has 567 divisors, whose sum is σ = 4139825645529. Its totient is φ = 420049244160.

The previous prime is 1331439054389. The next prime is 1331439054437. The reversal of 1331439054400 is 44509341331.

The square root of 1331439054400 is 1153880.

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 1219893742144 + 111545312256 = 1104488^2 + 333984^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1331439054400.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4200123042 + ... + 4200123358.

Almost surely, 2^{1331439054400} is an apocalyptic number.

1331439054400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1331439054400 is the 1153880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331439054400

1331439054400 is an abundant number, since it is smaller than the sum of its proper divisors (2808386591129).

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

1331439054400 is an equidigital number, since it uses as much as digits as its factorization.

1331439054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 1331439054400 in words is "one trillion, three hundred thirty-one billion, four hundred thirty-nine million, fifty-four thousand, four hundred".