4160131680 has 192 divisors, whose sum is σ = 13607129088. Its totient is φ = 1067612160.

The previous prime is 4160131649. The next prime is 4160131699. The reversal of 4160131680 is 861310614.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1374649 + ... + 1377671.

It is an arithmetic number, because the mean of its divisors is an integer number (70870464).

Almost surely, 2^4160131680 is an apocalyptic number.

4160131680 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 4160131680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6803564544).

4160131680 is an abundant number, since it is smaller than the sum of its proper divisors (9446997408).

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

4160131680 is a wasteful number, since it uses less digits than its factorization.

4160131680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3149 (or 3141 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 4160131680 is about 64499.0827841761. The cubic root of 4160131680 is about 1608.3072727812.

The spelling of 4160131680 in words is "four billion, one hundred sixty million, one hundred thirty-one thousand, six hundred eighty".