4013349120 has 1008 divisors, whose sum is σ = 17372299392. Its totient is φ = 875888640.

The previous prime is 4013349107. The next prime is 4013349139. The reversal of 4013349120 is 219433104.

4013349120 is a `hidden beast` number, since 40 + 133 + 491 + 2 + 0 = 666.

4013349120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4013349120² = 32213942318009548800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 174493429 + ... + 174493451.

It is an arithmetic number, because the mean of its divisors is an integer number (17234424).

Almost surely, 2^4013349120 is an apocalyptic number.

4013349120 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 4013349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8686149696).

4013349120 is an abundant number, since it is smaller than the sum of its proper divisors (13358950272).

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

4013349120 is a wasteful number, since it uses less digits than its factorization.

4013349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 4013349120 is about 63350.9993607046. Note that the first 3 decimals coincide. The cubic root of 4013349120 is about 1589.1649584653.

It can be divided in two parts, 40133 and 49120, that added together give a triangular number (89253 = T₄₂₂).

The spelling of 4013349120 in words is "four billion, thirteen million, three hundred forty-nine thousand, one hundred twenty".