401164444461104 has 80 divisors (see below), whose sum is σ = 826128500820480. Its totient is φ = 188060395299840.

The previous prime is 401164444461097. The next prime is 401164444461107.

It is a happy number.

401164444461104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×401164444461104² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401164444461107) 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, 4701231719 + ... + 4701317049.

It is an arithmetic number, because the mean of its divisors is an integer number (10326606260256).

Almost surely, 2^{401164444461104} 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 401164444461104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413064250410240).

401164444461104 is an abundant number, since it is smaller than the sum of its proper divisors (424964056359376).

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

401164444461104 is a wasteful number, since it uses less digits than its factorization.

401164444461104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151338 (or 151332 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 44.

The spelling of 401164444461104 in words is "four hundred one trillion, one hundred sixty-four billion, four hundred forty-four million, four hundred sixty-one thousand, one hundred four".