415520218368 has 432 divisors, whose sum is σ = 1271693404800. Its totient is φ = 130288435200.

The previous prime is 415520218357. The next prime is 415520218369. The reversal of 415520218368 is 863812025514.

415520218368 is a `hidden beast` number, since 4 + 1 + 55 + 20 + 218 + 368 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415520218369) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 452143413 + ... + 452144331.

Almost surely, 2^415520218368 is an apocalyptic number.

415520218368 is a gapful number since it is divisible by the number (48) 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 415520218368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635846702400).

415520218368 is an abundant number, since it is smaller than the sum of its proper divisors (856173186432).

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

415520218368 is a wasteful number, since it uses less digits than its factorization.

415520218368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 415520218368 in words is "four hundred fifteen billion, five hundred twenty million, two hundred eighteen thousand, three hundred sixty-eight".