401096457216 has 792 divisors, whose sum is σ = 1536606424080. Its totient is φ = 99536338944.

The previous prime is 401096457173. The next prime is 401096457221. The reversal of 401096457216 is 612754690104.

401096457216 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 9 + 64 + 572 + 16 = 666.

It is a congruent number.

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, 99798055 + ... + 99802073.

Almost surely, 2^401096457216 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 401096457216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768303212040).

401096457216 is an abundant number, since it is smaller than the sum of its proper divisors (1135509966864).

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

401096457216 is a wasteful number, since it uses less digits than its factorization.

401096457216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 401096457216 in words is "four hundred one billion, ninety-six million, four hundred fifty-seven thousand, two hundred sixteen".