4013858160 has 180 divisors, whose sum is σ = 14596992072. Its totient is φ = 987996672.

The previous prime is 4013858153. The next prime is 4013858227. The reversal of 4013858160 is 618583104.

4013858160 is a `hidden beast` number, since 4 + 0 + 13 + 8 + 581 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×4013858160² = 32222114657197171200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 105187 + ... + 138173.

Almost surely, 2^4013858160 is an apocalyptic number.

4013858160 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 4013858160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7298496036).

4013858160 is an abundant number, since it is smaller than the sum of its proper divisors (10583133912).

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

4013858160 is a wasteful number, since it uses less digits than its factorization.

4013858160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33032 (or 33010 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4013858160 is about 63355.0168494966. The cubic root of 4013858160 is about 1589.2321437767.

The spelling of 4013858160 in words is "four billion, thirteen million, eight hundred fifty-eight thousand, one hundred sixty".