4014104014104 has 32 divisors (see below), whose sum is σ = 10205349192000. Its totient is φ = 1315356117152.

The previous prime is 4014104014097. The next prime is 4014104014139.

4014104014104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4014104014104² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1417408194 + ... + 1417411025.

It is an arithmetic number, because the mean of its divisors is an integer number (318917162250).

Almost surely, 2^{4014104014104} is an apocalyptic number.

It is an amenable number.

4014104014104 is an abundant number, since it is smaller than the sum of its proper divisors (6191245177896).

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

4014104014104 is a wasteful number, since it uses less digits than its factorization.

4014104014104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834819287 (or 2834819283 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 4014104014104 in words is "four trillion, fourteen billion, one hundred four million, fourteen thousand, one hundred four".