401756181657104 has 80 divisors (see below), whose sum is σ = 816953709866112. Its totient is φ = 191031871709184.

The previous prime is 401756181657067. The next prime is 401756181657107.

It is a happy number.

401756181657104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×401756181657104² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401756181657104.

It is not an unprimeable number, because it can be changed into a prime (401756181657107) 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, 114538547 + ... + 117994029.

Almost surely, 2^{401756181657104} 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 401756181657104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408476854933056).

401756181657104 is an abundant number, since it is smaller than the sum of its proper divisors (415197528209008).

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

401756181657104 is a wasteful number, since it uses less digits than its factorization.

401756181657104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457344 (or 3457338 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 56.

The spelling of 401756181657104 in words is "four hundred one trillion, seven hundred fifty-six billion, one hundred eighty-one million, six hundred fifty-seven thousand, one hundred four".