4131765990 has 128 divisors (see below), whose sum is σ = 12130905600. Its totient is φ = 992373120.

The previous prime is 4131765949. The next prime is 4131766019. The reversal of 4131765990 is 995671314.

4131765990 is a `hidden beast` number, since 41 + 3 + 17 + 6 + 599 + 0 = 666.

It is a super-2 number, since 2×4131765990² = 34142980392241360200, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 317349 + ... + 330111.

It is an arithmetic number, because the mean of its divisors is an integer number (94772700).

Almost surely, 2^4131765990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4131765990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6065452800).

4131765990 is an abundant number, since it is smaller than the sum of its proper divisors (7999139610).

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

4131765990 is a wasteful number, since it uses less digits than its factorization.

4131765990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12899 (or 12893 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 4131765990 is about 64278.8144725772. The cubic root of 4131765990 is about 1604.6435403687.

The spelling of 4131765990 in words is "four billion, one hundred thirty-one million, seven hundred sixty-five thousand, nine hundred ninety".