4413114113144 has 48 divisors (see below), whose sum is σ = 9630221706000. Its totient is φ = 1887963249920.

The previous prime is 4413114113123. The next prime is 4413114113237.

4413114113144 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 4413114113144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134071844 + ... + 134104755.

It is an arithmetic number, because the mean of its divisors is an integer number (200629618875).

Almost surely, 2^{4413114113144} is an apocalyptic number.

4413114113144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4413114113144 is an abundant number, since it is smaller than the sum of its proper divisors (5217107592856).

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

4413114113144 is a wasteful number, since it uses less digits than its factorization.

4413114113144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268176644 (or 268176629 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The spelling of 4413114113144 in words is "four trillion, four hundred thirteen billion, one hundred fourteen million, one hundred thirteen thousand, one hundred forty-four".