4013883160 has 96 divisors (see below), whose sum is σ = 10568391840. Its totient is φ = 1344010752.

The previous prime is 4013883151. The next prime is 4013883163. The reversal of 4013883160 is 613883104.

It is a super-2 number, since 2×4013883160² = 32222516044263171200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013883163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 513844 + ... + 521596.

It is an arithmetic number, because the mean of its divisors is an integer number (110087415).

Almost surely, 2^4013883160 is an apocalyptic number.

4013883160 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 4013883160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284195920).

4013883160 is an abundant number, since it is smaller than the sum of its proper divisors (6554508680).

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

4013883160 is a wasteful number, since it uses less digits than its factorization.

4013883160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7857 (or 7810 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 4013883160 is about 63355.2141500603. The cubic root of 4013883160 is about 1589.2354432390.

The spelling of 4013883160 in words is "four billion, thirteen million, eight hundred eighty-three thousand, one hundred sixty".