416125426760 has 64 divisors (see below), whose sum is σ = 1000622833920. Its totient is φ = 155194854400.

The previous prime is 416125426733. The next prime is 416125426771. The reversal of 416125426760 is 67624521614.

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 15 ways as a sum of consecutive naturals, for example, 2786816 + ... + 2932335.

It is an arithmetic number, because the mean of its divisors is an integer number (15634731780).

Almost surely, 2^416125426760 is an apocalyptic number.

416125426760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416125426760 is an abundant number, since it is smaller than the sum of its proper divisors (584497407160).

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

416125426760 is a wasteful number, since it uses less digits than its factorization.

416125426760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5719286 (or 5719282 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 416125426760 in words is "four hundred sixteen billion, one hundred twenty-five million, four hundred twenty-six thousand, seven hundred sixty".