415440128000 has 96 divisors (see below), whose sum is σ = 1036686039480. Its totient is φ = 166175948800.

The previous prime is 415440127987. The next prime is 415440128011. The reversal of 415440128000 is 821044514.

It can be written as a sum of positive squares in 4 ways, for example, as 17188258816 + 398251869184 = 131104^2 + 631072^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 555407 + ... + 1067406.

Almost surely, 2^415440128000 is an apocalyptic number.

415440128000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415440128000 is an abundant number, since it is smaller than the sum of its proper divisors (621245911480).

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

415440128000 is an equidigital number, since it uses as much as digits as its factorization.

415440128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622850 (or 1622820 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The spelling of 415440128000 in words is "four hundred fifteen billion, four hundred forty million, one hundred twenty-eight thousand".