4896142272 has 168 divisors, whose sum is σ = 16083381600. Its totient is φ = 1395007488.

The previous prime is 4896142169. The next prime is 4896142313. The reversal of 4896142272 is 2722416984.

4896142272 is a `hidden beast` number, since 4 + 8 + 9 + 614 + 2 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1647604 + ... + 1650572.

Almost surely, 2^4896142272 is an apocalyptic number.

4896142272 is a gapful number since it is divisible by the number (42) 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 4896142272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8041690800).

4896142272 is an abundant number, since it is smaller than the sum of its proper divisors (11187239328).

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

4896142272 is a wasteful number, since it uses less digits than its factorization.

4896142272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3403 (or 3390 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 4896142272 is about 69972.4393743708. The cubic root of 4896142272 is about 1698.0533972478.

The spelling of 4896142272 in words is "four billion, eight hundred ninety-six million, one hundred forty-two thousand, two hundred seventy-two".