4401624980025 has 729 divisors, whose sum is σ = 10482635734389. Its totient is φ = 1759504481280.

The previous prime is 4401624980017. The next prime is 4401624980069. The reversal of 4401624980025 is 5200894261044.

It is a happy number.

The square root of 4401624980025 is 2098005.

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

4401624980025 is a `hidden beast` number, since 440 + 162 + 49 + 8 + 0 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 40 ways, for example, as 4067050656249 + 334574323776 = 2016693^2 + 578424^2 .

It is not a de Polignac number, because 4401624980025 - 2³ = 4401624980017 is a prime.

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

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 728 ways as a sum of consecutive naturals, for example, 83049527899 + ... + 83049527951.

Almost surely, 2^{4401624980025} is an apocalyptic number.

4401624980025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4401624980025 is the 2098005-th square number.

4401624980025 is the 1049003-rd centered octagonal number.

It is an amenable number.

4401624980025 is an abundant number, since it is smaller than the sum of its proper divisors (6081010754364).

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

4401624980025 is a wasteful number, since it uses less digits than its factorization.

4401624980025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 4401624980025 in words is "four trillion, four hundred one billion, six hundred twenty-four million, nine hundred eighty thousand, twenty-five".