4158646272 has 480 divisors, whose sum is σ = 14127553440. Its totient is φ = 1207664640.

The previous prime is 4158646231. The next prime is 4158646279. The reversal of 4158646272 is 2726468514.

4158646272 is a `hidden beast` number, since 4 + 1 + 586 + 4 + 62 + 7 + 2 = 666.

Its product of digits (645120) is a multiple of the sum of its prime divisors (112).

It is not an unprimeable number, because it can be changed into a prime (4158646279) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 78464998 + ... + 78465050.

It is an arithmetic number, because the mean of its divisors is an integer number (29432403).

Almost surely, 2^4158646272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4158646272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7063776720).

4158646272 is an abundant number, since it is smaller than the sum of its proper divisors (9968907168).

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

4158646272 is a wasteful number, since it uses less digits than its factorization.

4158646272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 112 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 4158646272 is about 64487.5668016712. The cubic root of 4158646272 is about 1608.1158303730.

The spelling of 4158646272 in words is "four billion, one hundred fifty-eight million, six hundred forty-six thousand, two hundred seventy-two".