406712942416 has 160 divisors (see below), whose sum is σ = 898664481792. Its totient is φ = 176640000000.

The previous prime is 406712942357. The next prime is 406712942423. The reversal of 406712942416 is 614249217604.

It is a congruent number.

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, 254036016 + ... + 254037616.

Almost surely, 2^406712942416 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 406712942416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449332240896).

406712942416 is an abundant number, since it is smaller than the sum of its proper divisors (491951539376).

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

406712942416 is a wasteful number, since it uses less digits than its factorization.

406712942416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 406712942416 in words is "four hundred six billion, seven hundred twelve million, nine hundred forty-two thousand, four hundred sixteen".