4130795520 has 312 divisors, whose sum is σ = 14561763216. Its totient is φ = 1082916864.

The previous prime is 4130795519. The next prime is 4130795527. The reversal of 4130795520 is 255970314.

4130795520 is a `hidden beast` number, since 4 + 1 + 30 + 79 + 552 + 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 not an unprimeable number, because it can be changed into a prime (4130795527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13455207 + ... + 13455513.

It is an arithmetic number, because the mean of its divisors is an integer number (46672318).

Almost surely, 2^4130795520 is an apocalyptic number.

4130795520 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 4130795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7280881608).

4130795520 is an abundant number, since it is smaller than the sum of its proper divisors (10430967696).

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

4130795520 is a wasteful number, since it uses less digits than its factorization.

4130795520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 4130795520 is about 64271.2651190250. The cubic root of 4130795520 is about 1604.5178975355.

The spelling of 4130795520 in words is "four billion, one hundred thirty million, seven hundred ninety-five thousand, five hundred twenty".