4107909960 has 192 divisors, whose sum is σ = 16645150080. Its totient is φ = 853585920.

The previous prime is 4107909959. The next prime is 4107909997. The reversal of 4107909960 is 699097014.

4107909960 is a `hidden beast` number, since 410 + 7 + 90 + 99 + 60 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 46377 + ... + 101816.

It is an arithmetic number, because the mean of its divisors is an integer number (86693490).

Almost surely, 2^4107909960 is an apocalyptic number.

4107909960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4107909960 is an abundant number, since it is smaller than the sum of its proper divisors (12537240120).

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

4107909960 is a wasteful number, since it uses less digits than its factorization.

4107909960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148228 (or 148221 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 4107909960 is about 64092.9790226667. The cubic root of 4107909960 is about 1601.5492753986.

The spelling of 4107909960 in words is "four billion, one hundred seven million, nine hundred nine thousand, nine hundred sixty".