415217806080 has 576 divisors, whose sum is σ = 1680498441216. Its totient is φ = 84860928000.

The previous prime is 415217806043. The next prime is 415217806121. The reversal of 415217806080 is 80608712514.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18024970 + ... + 18047990.

It is an arithmetic number, because the mean of its divisors is an integer number (2917532016).

Almost surely, 2^415217806080 is an apocalyptic number.

415217806080 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 415217806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840249220608).

415217806080 is an abundant number, since it is smaller than the sum of its proper divisors (1265280635136).

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

415217806080 is a wasteful number, since it uses less digits than its factorization.

415217806080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23124 (or 23110 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 415217806080 in words is "four hundred fifteen billion, two hundred seventeen million, eight hundred six thousand, eighty".