4440418272900 has 81 divisors (see below), whose sum is σ = 13918442539183. Its totient is φ = 1184094681600.

The previous prime is 4440418272887. The next prime is 4440418272991. The reversal of 4440418272900 is 92728140444.

The square root of 4440418272900 is 2107230.

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

4440418272900 is a `hidden beast` number, since 4 + 440 + 4 + 182 + 7 + 29 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1471082745924 + 2969335526976 = 1212882^2 + 1723176^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 63181780 + ... + 63252020.

Almost surely, 2^{4440418272900} is an apocalyptic number.

4440418272900 is the 2107230-th square number.

It is an amenable number.

4440418272900 is an abundant number, since it is smaller than the sum of its proper divisors (9478024266283).

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

4440418272900 is an frugal number, since it uses more digits than its factorization.

4440418272900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140502 (or 70251 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 4440418272900 in words is "four trillion, four hundred forty billion, four hundred eighteen million, two hundred seventy-two thousand, nine hundred".