415934009472 has 256 divisors, whose sum is σ = 1167582412800. Its totient is φ = 130996224000.

The previous prime is 415934009467. The next prime is 415934009509. The reversal of 415934009472 is 274900439514.

It is a super-2 number, since 2×415934009472² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346322472 + ... + 346323672.

It is an arithmetic number, because the mean of its divisors is an integer number (4560868800).

Almost surely, 2^415934009472 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 415934009472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583791206400).

415934009472 is an abundant number, since it is smaller than the sum of its proper divisors (751648403328).

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

415934009472 is a wasteful number, since it uses less digits than its factorization.

415934009472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 415934009472 in words is "four hundred fifteen billion, nine hundred thirty-four million, nine thousand, four hundred seventy-two".