415075663872 has 336 divisors, whose sum is σ = 1251915260960. Its totient is φ = 137594142720.

The previous prime is 415075663861. The next prime is 415075663889. The reversal of 415075663872 is 278366570514.

415075663872 is a `hidden beast` number, since 4 + 1 + 5 + 0 + 7 + 566 + 3 + 8 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2293235622 + ... + 2293235802.

Almost surely, 2^415075663872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415075663872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625957630480).

415075663872 is an abundant number, since it is smaller than the sum of its proper divisors (836839597088).

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

415075663872 is an frugal number, since it uses more digits than its factorization.

415075663872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 415075663872 in words is "four hundred fifteen billion, seventy-five million, six hundred sixty-three thousand, eight hundred seventy-two".