4131990720 has 672 divisors, whose sum is σ = 17041489920. Its totient is φ = 905748480.

The previous prime is 4131990697. The next prime is 4131990721. The reversal of 4131990720 is 270991314.

It is a super-2 number, since 2×4131990720² = 34146694620332236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4131990721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32535297 + ... + 32535423.

It is an arithmetic number, because the mean of its divisors is an integer number (25359360).

Almost surely, 2^4131990720 is an apocalyptic number.

4131990720 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 4131990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8520744960).

4131990720 is an abundant number, since it is smaller than the sum of its proper divisors (12909499200).

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

4131990720 is a wasteful number, since it uses less digits than its factorization.

4131990720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 4131990720 is about 64280.5625364309. The cubic root of 4131990720 is about 1604.6726324491.

The spelling of 4131990720 in words is "four billion, one hundred thirty-one million, nine hundred ninety thousand, seven hundred twenty".