4013144413104 has 40 divisors (see below), whose sum is σ = 10382974066672. Its totient is φ = 1335691019520.

The previous prime is 4013144413099. The next prime is 4013144413139.

4013144413104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4013144413104² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63211219 + ... + 63274674.

Almost surely, 2^{4013144413104} is an apocalyptic number.

It is an amenable number.

4013144413104 is an abundant number, since it is smaller than the sum of its proper divisors (6369829653568).

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

4013144413104 is a wasteful number, since it uses less digits than its factorization.

4013144413104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126486565 (or 126486559 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 4013144413104 in words is "four trillion, thirteen billion, one hundred forty-four million, four hundred thirteen thousand, one hundred four".