401414821665 has 192 divisors, whose sum is σ = 796598992896. Its totient is φ = 171243072000.

The previous prime is 401414821651. The next prime is 401414821697. The reversal of 401414821665 is 566128414104.

It is not a de Polignac number, because 401414821665 - 2⁴ = 401414821649 is a prime.

It is a super-2 number, since 2×401414821665² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49002720 + ... + 49010910.

It is an arithmetic number, because the mean of its divisors is an integer number (4148953088).

Almost surely, 2^401414821665 is an apocalyptic number.

It is an amenable number.

401414821665 is a deficient number, since it is larger than the sum of its proper divisors (395184171231).

401414821665 is a wasteful number, since it uses less digits than its factorization.

401414821665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8332 (or 8321 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 401414821665 in words is "four hundred one billion, four hundred fourteen million, eight hundred twenty-one thousand, six hundred sixty-five".