415216513404 has 216 divisors, whose sum is σ = 1335376551600. Its totient is φ = 107569244160.

The previous prime is 415216513367. The next prime is 415216513421. The reversal of 415216513404 is 404315612514.

415216513404 is a `hidden beast` number, since 4 + 152 + 165 + 1 + 340 + 4 = 666.

It is a super-2 number, since 2×415216513404² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7520652 + ... + 7575660.

It is an arithmetic number, because the mean of its divisors is an integer number (6182298850).

Almost surely, 2^415216513404 is an apocalyptic number.

415216513404 is a gapful number since it is divisible by the number (44) 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 415216513404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667688275800).

415216513404 is an abundant number, since it is smaller than the sum of its proper divisors (920160038196).

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

415216513404 is a wasteful number, since it uses less digits than its factorization.

415216513404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55433 (or 55421 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 415216513404 in words is "four hundred fifteen billion, two hundred sixteen million, five hundred thirteen thousand, four hundred four".