4155984000 has 1152 divisors, whose sum is σ = 18865267200. Its totient is φ = 870912000.

The previous prime is 4155983971. The next prime is 4155984061. The reversal of 4155984000 is 4895514.

4155984000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 134063985 + ... + 134064015.

It is an arithmetic number, because the mean of its divisors is an integer number (16376100).

Almost surely, 2^4155984000 is an apocalyptic number.

4155984000 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 4155984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9432633600).

4155984000 is an abundant number, since it is smaller than the sum of its proper divisors (14709283200).

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

4155984000 is a wasteful number, since it uses less digits than its factorization.

4155984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 4155984000 is about 64466.9217506156. The cubic root of 4155984000 is about 1607.7725972327.

The spelling of 4155984000 in words is "four billion, one hundred fifty-five million, nine hundred eighty-four thousand".