4113114144 has 96 divisors (see below), whose sum is σ = 10993086720. Its totient is φ = 1346322432.

The previous prime is 4113114097. The next prime is 4113114163. The reversal of 4113114144 is 4414113114.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

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, 1492672 + ... + 1495424.

It is an arithmetic number, because the mean of its divisors is an integer number (114511320).

Almost surely, 2^4113114144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4113114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5496543360).

4113114144 is an abundant number, since it is smaller than the sum of its proper divisors (6879972576).

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

4113114144 is a wasteful number, since it uses less digits than its factorization.

4113114144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3042 (or 3034 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 4113114144 is about 64133.5648783069. The cubic root of 4113114144 is about 1602.2253077352.

Adding to 4113114144 its reverse (4414113114), we get a palindrome (8527227258).

The spelling of 4113114144 in words is "four billion, one hundred thirteen million, one hundred fourteen thousand, one hundred forty-four".