4013618112 has 336 divisors, whose sum is σ = 13724485632. Its totient is φ = 1097349120.

The previous prime is 4013618053. The next prime is 4013618173. The reversal of 4013618112 is 2118163104.

It is a happy number.

4013618112 is a `hidden beast` number, since 40 + 1 + 3 + 618 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×4013618112² = 32218260697948889088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20373598 + ... + 20373794.

Almost surely, 2^4013618112 is an apocalyptic number.

4013618112 is a gapful number since it is divisible by the number (42) 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 4013618112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6862242816).

4013618112 is an abundant number, since it is smaller than the sum of its proper divisors (9710867520).

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

4013618112 is a wasteful number, since it uses less digits than its factorization.

4013618112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 4013618112 is about 63353.1223539929. The cubic root of 4013618112 is about 1589.2004619062.

The spelling of 4013618112 in words is "four billion, thirteen million, six hundred eighteen thousand, one hundred twelve".