4113130111440 has 80 divisors (see below), whose sum is σ = 14572232400768. Its totient is φ = 940144025088.

The previous prime is 4113130111397. The next prime is 4113130111451. The reversal of 4113130111440 is 441110313114.

4113130111440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4113130111440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1224144187 + ... + 1224147546.

Almost surely, 2^{4113130111440} is an apocalyptic number.

4113130111440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4113130111440 is an abundant number, since it is smaller than the sum of its proper divisors (10459102289328).

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

4113130111440 is a wasteful number, since it uses less digits than its factorization.

4113130111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448291756 (or 2448291750 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 4113130111440 its reverse (441110313114), we get a palindrome (4554240424554).

The spelling of 4113130111440 in words is "four trillion, one hundred thirteen billion, one hundred thirty million, one hundred eleven thousand, four hundred forty".