4013331120 has 120 divisors (see below), whose sum is σ = 13527433296. Its totient is φ = 1066305024.

The previous prime is 4013331097. The next prime is 4013331139. The reversal of 4013331120 is 211333104.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×4013331120² = 32213653357520908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4013331093 and 4013331102.

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 23 ways as a sum of consecutive naturals, for example, 189379 + ... + 209501.

Almost surely, 2^4013331120 is an apocalyptic number.

4013331120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6763716648).

4013331120 is an abundant number, since it is smaller than the sum of its proper divisors (9514102176).

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

4013331120 is a wasteful number, since it uses less digits than its factorization.

4013331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20419 (or 20410 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 4013331120 is about 63350.8572949096. The cubic root of 4013331120 is about 1589.1625826431.

Adding to 4013331120 its reverse (211333104), we get a palindrome (4224664224).

It can be divided in two parts, 40133 and 31120, that added together give a triangular number (71253 = T₃₇₇).

The spelling of 4013331120 in words is "four billion, thirteen million, three hundred thirty-one thousand, one hundred twenty".