4160407680 has 384 divisors, whose sum is σ = 16881359040. Its totient is φ = 930816000.

The previous prime is 4160407567. The next prime is 4160407709. The reversal of 4160407680 is 867040614.

4160407680 is a `hidden beast` number, since 41 + 604 + 0 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 821155 + ... + 826205.

Almost surely, 2^4160407680 is an apocalyptic number.

4160407680 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 4160407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8440679520).

4160407680 is an abundant number, since it is smaller than the sum of its proper divisors (12720951360).

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

4160407680 is a wasteful number, since it uses less digits than its factorization.

4160407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5100 (or 5085 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4160407680 is about 64501.2223139996. Note that the first 3 decimals coincide. The cubic root of 4160407680 is about 1608.3428392027.

The spelling of 4160407680 in words is "four billion, one hundred sixty million, four hundred seven thousand, six hundred eighty".