415415866080 has 192 divisors, whose sum is σ = 1344689881920. Its totient is φ = 107722358784.

The previous prime is 415415866051. The next prime is 415415866091. The reversal of 415415866080 is 80668514514.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37095042 + ... + 37106238.

It is an arithmetic number, because the mean of its divisors is an integer number (7003593135).

Almost surely, 2^415415866080 is an apocalyptic number.

415415866080 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 415415866080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672344940960).

415415866080 is an abundant number, since it is smaller than the sum of its proper divisors (929274015840).

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

415415866080 is a wasteful number, since it uses less digits than its factorization.

415415866080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13341 (or 13333 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 415415866080 in words is "four hundred fifteen billion, four hundred fifteen million, eight hundred sixty-six thousand, eighty".