44044006566400 has 60 divisors (see below), whose sum is σ = 109122467237982. Its totient is φ = 17617602621440.

The previous prime is 44044006566349. The next prime is 44044006566431. The reversal of 44044006566400 is 466560044044.

It can be written as a sum of positive squares in 3 ways, for example, as 36440442974464 + 7603563591936 = 6036592^2 + 2757456^2 .

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 5 ways as a sum of consecutive naturals, for example, 1720456207 + ... + 1720481806.

Almost surely, 2^{44044006566400} is an apocalyptic number.

44044006566400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44044006566400 is an abundant number, since it is smaller than the sum of its proper divisors (65078460671582).

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

44044006566400 is an equidigital number, since it uses as much as digits as its factorization.

44044006566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440938041 (or 3440938020 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 43.

The spelling of 44044006566400 in words is "forty-four trillion, forty-four billion, six million, five hundred sixty-six thousand, four hundred".