415472168320 has 128 divisors (see below), whose sum is σ = 1109960923680. Its totient is φ = 147395788800.

The previous prime is 415472168273. The next prime is 415472168329. The reversal of 415472168320 is 23861274514.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415472168329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 431067 + ... + 1008346.

Almost surely, 2^415472168320 is an apocalyptic number.

415472168320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415472168320 is an abundant number, since it is smaller than the sum of its proper divisors (694488755360).

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

415472168320 is a wasteful number, since it uses less digits than its factorization.

415472168320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439484 (or 1439472 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 415472168320 in words is "four hundred fifteen billion, four hundred seventy-two million, one hundred sixty-eight thousand, three hundred twenty".