415879888896 has 384 divisors, whose sum is σ = 1289587244400. Its totient is φ = 133772083200.

The previous prime is 415879888883. The next prime is 415879888901. The reversal of 415879888896 is 698888978514.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (81).

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, 230915196 + ... + 230916996.

Almost surely, 2^415879888896 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 415879888896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644793622200).

415879888896 is an abundant number, since it is smaller than the sum of its proper divisors (873707355504).

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

415879888896 is an frugal number, since it uses more digits than its factorization.

415879888896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1835 counting only the distinct ones).

The product of its digits is 2229534720, while the sum is 81.

The spelling of 415879888896 in words is "four hundred fifteen billion, eight hundred seventy-nine million, eight hundred eighty-eight thousand, eight hundred ninety-six".