4136297760 has 648 divisors, whose sum is σ = 17244513468. Its totient is φ = 899942400.

The previous prime is 4136297741. The next prime is 4136297773. The reversal of 4136297760 is 677926314.

4136297760 is a `hidden beast` number, since 4 + 13 + 629 + 7 + 7 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3587051664 + 549246096 = 59892^2 + 23436^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 67808130 + ... + 67808190.

Almost surely, 2^4136297760 is an apocalyptic number.

4136297760 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 4136297760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8622256734).

4136297760 is an abundant number, since it is smaller than the sum of its proper divisors (13108215708).

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

4136297760 is a wasteful number, since it uses less digits than its factorization.

4136297760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 4136297760 is about 64314.0556954699. The cubic root of 4136297760 is about 1605.2299900423.

The spelling of 4136297760 in words is "four billion, one hundred thirty-six million, two hundred ninety-seven thousand, seven hundred sixty".