4158688960 has 28 divisors (see below), whose sum is σ = 9902878848. Its totient is φ = 1663475456.

The previous prime is 4158688931. The next prime is 4158688979. The reversal of 4158688960 is 698868514.

4158688960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6497632 + ... + 6498271.

Almost surely, 2^4158688960 is an apocalyptic number.

4158688960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4158688960 is an abundant number, since it is smaller than the sum of its proper divisors (5744189888).

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

4158688960 is a wasteful number, since it uses less digits than its factorization.

4158688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12995920 (or 12995910 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 55.

The square root of 4158688960 is about 64487.8977793508. The cubic root of 4158688960 is about 1608.1213327255.

The spelling of 4158688960 in words is "four billion, one hundred fifty-eight million, six hundred eighty-eight thousand, nine hundred sixty".