4013837685 has 256 divisors, whose sum is σ = 9134899200. Its totient is φ = 1642291200.

The previous prime is 4013837677. The next prime is 4013837701. The reversal of 4013837685 is 5867383104.

It is not a de Polignac number, because 4013837685 - 2³ = 4013837677 is a prime.

It is a super-2 number, since 2×4013837685² = 32221785923052318450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4013837685.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11370469 + ... + 11370821.

It is an arithmetic number, because the mean of its divisors is an integer number (35683200).

Almost surely, 2^4013837685 is an apocalyptic number.

4013837685 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4013837685 is an abundant number, since it is smaller than the sum of its proper divisors (5121061515).

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

4013837685 is a wasteful number, since it uses less digits than its factorization.

4013837685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4013837685 is about 63354.8552598773. The cubic root of 4013837685 is about 1589.2294415069.

The spelling of 4013837685 in words is "four billion, thirteen million, eight hundred thirty-seven thousand, six hundred eighty-five".