401112222211104 has 96 divisors (see below), whose sum is σ = 1063369853280000. Its totient is φ = 132377118720000.

The previous prime is 401112222211093. The next prime is 401112222211123.

401112222211104 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425678272 + ... + 426619520.

It is an arithmetic number, because the mean of its divisors is an integer number (11076769305000).

Almost surely, 2^{401112222211104} is an apocalyptic number.

It is an amenable number.

401112222211104 is an abundant number, since it is smaller than the sum of its proper divisors (662257631068896).

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

401112222211104 is a wasteful number, since it uses less digits than its factorization.

401112222211104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985314 (or 985306 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The spelling of 401112222211104 in words is "four hundred one trillion, one hundred twelve billion, two hundred twenty-two million, two hundred eleven thousand, one hundred four".