4918032000 has 1152 divisors, whose sum is σ = 22284596880. Its totient is φ = 1032192000.

The previous prime is 4918031977. The next prime is 4918032001. The reversal of 4918032000 is 2308194.

It can be written as a sum of positive squares in 8 ways, for example, as 10188864 + 4907843136 = 3192^2 + 70056^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4918032001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 119951980 + ... + 119952020.

Almost surely, 2^4918032000 is an apocalyptic number.

4918032000 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 4918032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11142298440).

4918032000 is an abundant number, since it is smaller than the sum of its proper divisors (17366564880).

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

4918032000 is a wasteful number, since it uses less digits than its factorization.

4918032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4918032000 is about 70128.6817215325. The cubic root of 4918032000 is about 1700.5801941195.

The spelling of 4918032000 in words is "four billion, nine hundred eighteen million, thirty-two thousand".