2425557056400 has 405 divisors, whose sum is σ = 8534730635353. Its totient is φ = 637919232000.

The previous prime is 2425557056371. The next prime is 2425557056401. The reversal of 2425557056400 is 46507555242.

The square root of 2425557056400 is 1557420.

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

2425557056400 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 557 + 0 + 56 + 40 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 239038855056 + 2186518201344 = 488916^2 + 1478688^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2425557056401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9437965072 + ... + 9437965328.

Almost surely, 2^{2425557056400} is an apocalyptic number.

2425557056400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2425557056400 is the 1557420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2425557056400

2425557056400 is an abundant number, since it is smaller than the sum of its proper divisors (6109173578953).

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

2425557056400 is a wasteful number, since it uses less digits than its factorization.

2425557056400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 45.

The spelling of 2425557056400 in words is "two trillion, four hundred twenty-five billion, five hundred fifty-seven million, fifty-six thousand, four hundred".