4131887760 has 1200 divisors, whose sum is σ = 19769270400. Its totient is φ = 792529920.

The previous prime is 4131887719. The next prime is 4131887777. The reversal of 4131887760 is 677881314.

4131887760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4131887760² = 34144992922475635200, which contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 317837514 + ... + 317837526.

It is an arithmetic number, because the mean of its divisors is an integer number (16474392).

Almost surely, 2^4131887760 is an apocalyptic number.

4131887760 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 4131887760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9884635200).

4131887760 is an abundant number, since it is smaller than the sum of its proper divisors (15637382640).

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

4131887760 is a wasteful number, since it uses less digits than its factorization.

4131887760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 4131887760 is about 64279.7616672620. The cubic root of 4131887760 is about 1604.6593040498.

The spelling of 4131887760 in words is "four billion, one hundred thirty-one million, eight hundred eighty-seven thousand, seven hundred sixty".