4157911680 has 512 divisors, whose sum is σ = 15545779200. Its totient is φ = 935854080.

The previous prime is 4157911679. The next prime is 4157911699. The reversal of 4157911680 is 861197514.

4157911680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17397001 + ... + 17397239.

It is an arithmetic number, because the mean of its divisors is an integer number (30362850).

Almost surely, 2^4157911680 is an apocalyptic number.

4157911680 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 4157911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7772889600).

4157911680 is an abundant number, since it is smaller than the sum of its proper divisors (11387867520).

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

4157911680 is a wasteful number, since it uses less digits than its factorization.

4157911680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The square root of 4157911680 is about 64481.8709405985. The cubic root of 4157911680 is about 1608.0211378128.

The spelling of 4157911680 in words is "four billion, one hundred fifty-seven million, nine hundred eleven thousand, six hundred eighty".