416794064544 has 432 divisors, whose sum is σ = 1438975111392. Its totient is φ = 112814208000.

The previous prime is 416794064461. The next prime is 416794064639. The reversal of 416794064544 is 445460497614.

416794064544 is a `hidden beast` number, since 4 + 1 + 6 + 7 + 94 + 0 + 6 + 4 + 544 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39572559 + ... + 39583089.

It is an arithmetic number, because the mean of its divisors is an integer number (3330960906).

Almost surely, 2^416794064544 is an apocalyptic number.

416794064544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416794064544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719487555696).

416794064544 is an abundant number, since it is smaller than the sum of its proper divisors (1022181046848).

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

416794064544 is a wasteful number, since it uses less digits than its factorization.

416794064544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10633 (or 10591 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 416794064544 in words is "four hundred sixteen billion, seven hundred ninety-four million, sixty-four thousand, five hundred forty-four".