4136085720 has 768 divisors, whose sum is σ = 16696627200. Its totient is φ = 905748480.

The previous prime is 4136085691. The next prime is 4136085743. The reversal of 4136085720 is 275806314.

4136085720 is a `hidden beast` number, since 41 + 3 + 608 + 5 + 7 + 2 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 96188019 + ... + 96188061.

It is an arithmetic number, because the mean of its divisors is an integer number (21740400).

Almost surely, 2^4136085720 is an apocalyptic number.

4136085720 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 4136085720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8348313600).

4136085720 is an abundant number, since it is smaller than the sum of its proper divisors (12560541480).

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

4136085720 is a wasteful number, since it uses less digits than its factorization.

4136085720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4136085720 is about 64312.4072010992. The cubic root of 4136085720 is about 1605.2025598134.

The spelling of 4136085720 in words is "four billion, one hundred thirty-six million, eighty-five thousand, seven hundred twenty".