414721741824 has 880 divisors, whose sum is σ = 1451406190080. Its totient is φ = 116811694080.

The previous prime is 414721741807. The next prime is 414721741867. The reversal of 414721741824 is 428147127414.

414721741824 is a `hidden beast` number, since 4 + 1 + 472 + 174 + 1 + 8 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 414721741824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 635101882 + ... + 635102534.

It is an arithmetic number, because the mean of its divisors is an integer number (1649325216).

Almost surely, 2^414721741824 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 414721741824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725703095040).

414721741824 is an abundant number, since it is smaller than the sum of its proper divisors (1036684448256).

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

414721741824 is a wasteful number, since it uses less digits than its factorization.

414721741824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 721 counting only the distinct ones).

The product of its digits is 401408, while the sum is 45.

The spelling of 414721741824 in words is "four hundred fourteen billion, seven hundred twenty-one million, seven hundred forty-one thousand, eight hundred twenty-four".