4107296160 has 480 divisors, whose sum is σ = 16175884032. Its totient is φ = 972933120.

The previous prime is 4107296119. The next prime is 4107296173. The reversal of 4107296160 is 616927014.

4107296160 is a `hidden beast` number, since 4 + 10 + 7 + 29 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6700014 + ... + 6700626.

Almost surely, 2^4107296160 is an apocalyptic number.

4107296160 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 4107296160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8087942016).

4107296160 is an abundant number, since it is smaller than the sum of its proper divisors (12068587872).

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

4107296160 is a wasteful number, since it uses less digits than its factorization.

4107296160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 4107296160 is about 64088.1904877958. The cubic root of 4107296160 is about 1601.4695041020.

The spelling of 4107296160 in words is "four billion, one hundred seven million, two hundred ninety-six thousand, one hundred sixty".