1562450000400 has 405 divisors, whose sum is σ = 5510202170317. Its totient is φ = 409993440000.

The previous prime is 1562450000383. The next prime is 1562450000437. The reversal of 1562450000400 is 40000542651.

The square root of 1562450000400 is 1249980.

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

1562450000400 is a `hidden beast` number, since 15 + 6 + 245 + 0 + 0 + 0 + 0 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 562482000144 + 999968000256 = 749988^2 + 999984^2 .

It is a Duffinian number.

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, 6224900275 + ... + 6224900525.

Almost surely, 2^{1562450000400} is an apocalyptic number.

1562450000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1562450000400 is the 1249980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1562450000400

1562450000400 is an abundant number, since it is smaller than the sum of its proper divisors (3947752169917).

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

1562450000400 is an equidigital number, since it uses as much as digits as its factorization.

1562450000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 1562450000400 in words is "one trillion, five hundred sixty-two billion, four hundred fifty million, four hundred", and thus it is an aban number.