4120728000 has 112 divisors (see below), whose sum is σ = 13606723104. Its totient is φ = 1098854400.

The previous prime is 4120727981. The next prime is 4120728013. The reversal of 4120728000 is 8270214.

4120728000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61849 + ... + 109848.

Almost surely, 2^4120728000 is an apocalyptic number.

4120728000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4120728000 is an abundant number, since it is smaller than the sum of its proper divisors (9485995104).

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

4120728000 is a wasteful number, since it uses less digits than its factorization.

4120728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171727 (or 171707 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 4120728000 is about 64192.8968033068. The cubic root of 4120728000 is about 1603.2133338997.

Adding to 4120728000 its reverse (8270214), we get a palindrome (4128998214).

The spelling of 4120728000 in words is "four billion, one hundred twenty million, seven hundred twenty-eight thousand".