415166407320 has 128 divisors (see below), whose sum is σ = 1450284963840. Its totient is φ = 93104693760.

The previous prime is 415166407309. The next prime is 415166407361. The reversal of 415166407320 is 23704661514.

It is a happy number.

It is a super-2 number, since 2×415166407320² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4618176 + ... + 4707215.

It is an arithmetic number, because the mean of its divisors is an integer number (11330351280).

Almost surely, 2^415166407320 is an apocalyptic number.

415166407320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415166407320 is an abundant number, since it is smaller than the sum of its proper divisors (1035118556520).

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

415166407320 is a wasteful number, since it uses less digits than its factorization.

415166407320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9325465 (or 9325461 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 415166407320 in words is "four hundred fifteen billion, one hundred sixty-six million, four hundred seven thousand, three hundred twenty".