4481392624900 has 27 divisors (see below), whose sum is σ = 9724667933631. Its totient is φ = 1792548582240.

The previous prime is 4481392624897. The next prime is 4481392624967. The reversal of 4481392624900 is 94262931844.

The square root of 4481392624900 is 2116930.

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

It can be written as a sum of positive squares in 4 ways, for example, as 566566322436 + 3914826302464 = 752706^2 + 1978592^2 .

It is a super-2 number, since 2×4481392624900² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 21063454 + ... + 21275146.

Almost surely, 2^{4481392624900} is an apocalyptic number.

4481392624900 is the 2116930-th square number.

It is an amenable number.

4481392624900 is an abundant number, since it is smaller than the sum of its proper divisors (5243275308731).

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

4481392624900 is an frugal number, since it uses more digits than its factorization.

4481392624900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423400 (or 211700 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 52.

The spelling of 4481392624900 in words is "four trillion, four hundred eighty-one billion, three hundred ninety-two million, six hundred twenty-four thousand, nine hundred".