415120847008800 has 576 divisors, whose sum is σ = 1402212426660864. Its totient is φ = 106560611942400.

The previous prime is 415120847008787. The next prime is 415120847008841. The reversal of 415120847008800 is 8800748021514.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 415120847008800.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10856503282 + ... + 10856541518.

It is an arithmetic number, because the mean of its divisors is an integer number (2434396574064).

Almost surely, 2^{415120847008800} is an apocalyptic number.

415120847008800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415120847008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701106213330432).

415120847008800 is an abundant number, since it is smaller than the sum of its proper divisors (987091579652064).

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

415120847008800 is a wasteful number, since it uses less digits than its factorization.

415120847008800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39061 (or 39048 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 48.

The spelling of 415120847008800 in words is "four hundred fifteen trillion, one hundred twenty billion, eight hundred forty-seven million, eight thousand, eight hundred".