4153720928000 has 288 divisors, whose sum is σ = 11918840414208. Its totient is φ = 1412909568000.

The previous prime is 4153720927997. The next prime is 4153720928011. The reversal of 4153720928000 is 8290273514.

4153720928000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28374995 + ... + 28521005.

Almost surely, 2^{4153720928000} is an apocalyptic number.

4153720928000 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 4153720928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5959420207104).

4153720928000 is an abundant number, since it is smaller than the sum of its proper divisors (7765119486208).

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

4153720928000 is a wasteful number, since it uses less digits than its factorization.

4153720928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146176 (or 146152 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 4153720928000 in words is "four trillion, one hundred fifty-three billion, seven hundred twenty million, nine hundred twenty-eight thousand".