415043804160 has 264 divisors, whose sum is σ = 1456332745920. Its totient is φ = 109276397568.

The previous prime is 415043804159. The next prime is 415043804221. The reversal of 415043804160 is 61408340514.

415043804160 is a `hidden beast` number, since 415 + 0 + 4 + 3 + 80 + 4 + 160 = 666.

It is a super-2 number, since 2×415043804160² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3583314 + ... + 3697326.

Almost surely, 2^415043804160 is an apocalyptic number.

415043804160 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 415043804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728166372960).

415043804160 is an abundant number, since it is smaller than the sum of its proper divisors (1041288941760).

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

415043804160 is a wasteful number, since it uses less digits than its factorization.

415043804160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114123 (or 114102 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 415043804160 in words is "four hundred fifteen billion, forty-three million, eight hundred four thousand, one hundred sixty".