415870848000 has 440 divisors, whose sum is σ = 1549894467264. Its totient is φ = 110896128000.

The previous prime is 415870847999. The next prime is 415870848017. The reversal of 415870848000 is 848078514.

415870848000 is a `hidden beast` number, since 415 + 87 + 0 + 84 + 80 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10347945 + ... + 10388055.

Almost surely, 2^415870848000 is an apocalyptic number.

415870848000 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 415870848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774947233632).

415870848000 is an abundant number, since it is smaller than the sum of its proper divisors (1134023619264).

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

415870848000 is an equidigital number, since it uses as much as digits as its factorization.

415870848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40158 (or 40121 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 415870848000 in words is "four hundred fifteen billion, eight hundred seventy million, eight hundred forty-eight thousand".