1557204494400 has 189 divisors, whose sum is σ = 5535204728781. Its totient is φ = 415214599680.

The previous prime is 1557204494323. The next prime is 1557204494401. The reversal of 1557204494400 is 44944027551.

The square root of 1557204494400 is 1247880.

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

1557204494400 is a `hidden beast` number, since 1 + 55 + 72 + 0 + 4 + 494 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 560593617984 + 996610876416 = 748728^2 + 998304^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1557204494401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 149740401 + ... + 149750799.

Almost surely, 2^{1557204494400} is an apocalyptic number.

1557204494400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1557204494400 is the 1247880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1557204494400

1557204494400 is an abundant number, since it is smaller than the sum of its proper divisors (3978000234381).

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

1557204494400 is an frugal number, since it uses more digits than its factorization.

1557204494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20826 (or 10409 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 1557204494400 in words is "one trillion, five hundred fifty-seven billion, two hundred four million, four hundred ninety-four thousand, four hundred".