401597666795104 has 48 divisors (see below), whose sum is σ = 851610916271808. Its totient is φ = 185320849324032.

The previous prime is 401597666795053. The next prime is 401597666795107.

401597666795104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×401597666795104² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401597666795107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80706297 + ... + 85537720.

It is an arithmetic number, because the mean of its divisors is an integer number (17741894088996).

Almost surely, 2^{401597666795104} is an apocalyptic number.

It is an amenable number.

401597666795104 is an abundant number, since it is smaller than the sum of its proper divisors (450013249476704).

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

401597666795104 is a wasteful number, since it uses less digits than its factorization.

401597666795104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166249847 (or 166249839 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 70.

The spelling of 401597666795104 in words is "four hundred one trillion, five hundred ninety-seven billion, six hundred sixty-six million, seven hundred ninety-five thousand, one hundred four".