4107414680 has 48 divisors (see below), whose sum is σ = 9753721920. Its totient is φ = 1556488512.

The previous prime is 4107414679. The next prime is 4107414691. The reversal of 4107414680 is 864147014.

It is a self number, because there is not a number n which added to its sum of digits gives 4107414680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127784 + ... + 156663.

It is an arithmetic number, because the mean of its divisors is an integer number (203202540).

Almost surely, 2^4107414680 is an apocalyptic number.

4107414680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4107414680 is an abundant number, since it is smaller than the sum of its proper divisors (5646307240).

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

4107414680 is a wasteful number, since it uses less digits than its factorization.

4107414680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284496 (or 284473 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 4107414680 is about 64089.1151444612. The cubic root of 4107414680 is about 1601.4849079373.

The spelling of 4107414680 in words is "four billion, one hundred seven million, four hundred fourteen thousand, six hundred eighty".