4130969760 has 384 divisors, whose sum is σ = 15042827520. Its totient is φ = 1057996800.

The previous prime is 4130969743. The next prime is 4130969779. The reversal of 4130969760 is 679690314.

4130969760 is a `hidden beast` number, since 413 + 0 + 96 + 97 + 60 = 666.

It is a super-2 number, since 2×4130969760² = 34129822316068915200, 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 63 ways as a sum of consecutive naturals, for example, 14700820 + ... + 14701100.

It is an arithmetic number, because the mean of its divisors is an integer number (39174030).

Almost surely, 2^4130969760 is an apocalyptic number.

4130969760 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 4130969760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7521413760).

4130969760 is an abundant number, since it is smaller than the sum of its proper divisors (10911857760).

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

4130969760 is a wasteful number, since it uses less digits than its factorization.

4130969760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 4130969760 is about 64272.6206094010. The cubic root of 4130969760 is about 1604.5404571342.

The spelling of 4130969760 in words is "four billion, one hundred thirty million, nine hundred sixty-nine thousand, seven hundred sixty".