4525745664400 has 135 divisors (see below), whose sum is σ = 11552167785289. Its totient is φ = 1703537827840.

The previous prime is 4525745664359. The next prime is 4525745664481. The reversal of 4525745664400 is 44665475254.

The square root of 4525745664400 is 2127380.

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 12398377104 + 4513347287296 = 111348^2 + 2124464^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 723306072 + ... + 723312328.

Almost surely, 2^{4525745664400} is an apocalyptic number.

4525745664400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4525745664400 is the 2127380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4525745664400

4525745664400 is an abundant number, since it is smaller than the sum of its proper divisors (7026422120889).

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

4525745664400 is an frugal number, since it uses more digits than its factorization.

4525745664400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12566 (or 6281 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 52.

The spelling of 4525745664400 in words is "four trillion, five hundred twenty-five billion, seven hundred forty-five million, six hundred sixty-four thousand, four hundred".