2401110111042 has 24 divisors (see below), whose sum is σ = 5343010789116. Its totient is φ = 778738414176.

The previous prime is 2401110111041. The next prime is 2401110111143.

2401110111042 is a `hidden beast` number, since 2 + 401 + 110 + 1 + 110 + 42 = 666.

2401110111042 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 2395533158001 + 5576953041 = 1547751^2 + 74679^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2401110111041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1802634553 + ... + 1802635884.

Almost surely, 2^{2401110111042} is an apocalyptic number.

2401110111042 is an abundant number, since it is smaller than the sum of its proper divisors (2941900678074).

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

2401110111042 is a wasteful number, since it uses less digits than its factorization.

2401110111042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3605270482 (or 3605270479 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 2401110 and 111042, that added together give a palindrome (2512152).

The spelling of 2401110111042 in words is "two trillion, four hundred one billion, one hundred ten million, one hundred eleven thousand, forty-two".