401114242411104 has 48 divisors (see below), whose sum is σ = 1098704229219072. Its totient is φ = 127891497579648.

The previous prime is 401114242411033. The next prime is 401114242411121.

It is a happy number.

401114242411104 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90832027324 + ... + 90832031739.

It is an arithmetic number, because the mean of its divisors is an integer number (22889671442064).

Almost surely, 2^{401114242411104} is an apocalyptic number.

It is an amenable number.

401114242411104 is an abundant number, since it is smaller than the sum of its proper divisors (697589986807968).

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

401114242411104 is a wasteful number, since it uses less digits than its factorization.

401114242411104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181664059099 (or 181664059091 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The spelling of 401114242411104 in words is "four hundred one trillion, one hundred fourteen billion, two hundred forty-two million, four hundred eleven thousand, one hundred four".