401101404101104 has 160 divisors (see below), whose sum is σ = 910463062348800. Its totient is φ = 167634562867200.

The previous prime is 401101404101089. The next prime is 401101404101119.

It is a happy number.

401101404101104 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (401101404101089) and next prime (401101404101119).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5971492032 + ... + 5971559200.

It is an arithmetic number, because the mean of its divisors is an integer number (5690394139680).

Almost surely, 2^{401101404101104} 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 401101404101104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455231531174400).

401101404101104 is an abundant number, since it is smaller than the sum of its proper divisors (509361658247696).

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

401101404101104 is a wasteful number, since it uses less digits than its factorization.

401101404101104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75231 (or 75225 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

It can be divided in two parts, 40110140 and 4101104, that added together give a palindrome (44211244).

The spelling of 401101404101104 in words is "four hundred one trillion, one hundred one billion, four hundred four million, one hundred one thousand, one hundred four".