4136940864 has 392 divisors, whose sum is σ = 14391924480. Its totient is φ = 1154829312.

The previous prime is 4136940823. The next prime is 4136940901. The reversal of 4136940864 is 4680496314.

It is a super-2 number, since 2×4136940864² = 34228559424466132992, which contains 22 as substring.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 17309257 + ... + 17309495.

Almost surely, 2^4136940864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4136940864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7195962240).

4136940864 is an abundant number, since it is smaller than the sum of its proper divisors (10254983616).

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

4136940864 is an equidigital number, since it uses as much as digits as its factorization.

4136940864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4136940864 is about 64319.0552169417. The cubic root of 4136940864 is about 1605.3131784708.

The spelling of 4136940864 in words is "four billion, one hundred thirty-six million, nine hundred forty thousand, eight hundred sixty-four".