4394557542400 has 117 divisors (see below), whose sum is σ = 10898836011913. Its totient is φ = 1757554688000.

The previous prime is 4394557542367. The next prime is 4394557542443. The reversal of 4394557542400 is 42457554934.

The square root of 4394557542400 is 2096320.

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

It can be written as a sum of positive squares in only one way, i.e., 1582040715264 + 2812516827136 = 1257792^2 + 1677056^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 670819125 + ... + 670825675.

Almost surely, 2^{4394557542400} is an apocalyptic number.

4394557542400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4394557542400 is the 2096320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4394557542400

4394557542400 is an abundant number, since it is smaller than the sum of its proper divisors (6504278469513).

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

4394557542400 is an frugal number, since it uses more digits than its factorization.

4394557542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13136 (or 6558 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 52.

The spelling of 4394557542400 in words is "four trillion, three hundred ninety-four billion, five hundred fifty-seven million, five hundred forty-two thousand, four hundred".