401122217657 has 16 divisors (see below), whose sum is σ = 465605219712. Its totient is φ = 338441621760.

The previous prime is 401122217653. The next prime is 401122217677. The reversal of 401122217657 is 756712221104.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 401122217657 - 2² = 401122217653 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 401122217657.

It is not an unprimeable number, because it can be changed into a prime (401122217653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338033 + ... + 957345.

It is an arithmetic number, because the mean of its divisors is an integer number (29100326232).

Almost surely, 2^401122217657 is an apocalyptic number.

It is an amenable number.

401122217657 is a deficient number, since it is larger than the sum of its proper divisors (64483002055).

401122217657 is a wasteful number, since it uses less digits than its factorization.

401122217657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620768.

The product of its (nonzero) digits is 47040, while the sum is 38.

The spelling of 401122217657 in words is "four hundred one billion, one hundred twenty-two million, two hundred seventeen thousand, six hundred fifty-seven".