416224027296 has 864 divisors, whose sum is σ = 1553669994240. Its totient is φ = 104457830400.

The previous prime is 416224027279. The next prime is 416224027327. The reversal of 416224027296 is 692720422614.

416224027296 is a `hidden beast` number, since 41 + 62 + 240 + 27 + 296 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 649335136 + ... + 649335776.

It is an arithmetic number, because the mean of its divisors is an integer number (1798229160).

Almost surely, 2^416224027296 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 416224027296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776834997120).

416224027296 is an abundant number, since it is smaller than the sum of its proper divisors (1137445966944).

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

416224027296 is a wasteful number, since it uses less digits than its factorization.

416224027296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 416224027296 in words is "four hundred sixteen billion, two hundred twenty-four million, twenty-seven thousand, two hundred ninety-six".