4013502120 has 192 divisors, whose sum is σ = 13947448320. Its totient is φ = 997373952.

The previous prime is 4013502089. The next prime is 4013502169. The reversal of 4013502120 is 212053104.

4013502120 is a `hidden beast` number, since 40 + 1 + 3 + 502 + 120 = 666.

It is a super-2 number, since 2×4013502120² = 32216398534488988800, 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 = 4013502093 and 4013502102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 627177 + ... + 633543.

It is an arithmetic number, because the mean of its divisors is an integer number (72642960).

Almost surely, 2^4013502120 is an apocalyptic number.

4013502120 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 4013502120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6973724160).

4013502120 is an abundant number, since it is smaller than the sum of its proper divisors (9933946200).

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

4013502120 is a wasteful number, since it uses less digits than its factorization.

4013502120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6504 (or 6497 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4013502120 is about 63352.2069070999. The cubic root of 4013502120 is about 1589.1851526673.

Adding to 4013502120 its reverse (212053104), we get a palindrome (4225555224).

The spelling of 4013502120 in words is "four billion, thirteen million, five hundred two thousand, one hundred twenty".