4915008000 has 960 divisors, whose sum is σ = 21509908992. Its totient is φ = 1054310400.

The previous prime is 4915007971. The next prime is 4915008011. The reversal of 4915008000 is 8005194.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92735974 + ... + 92736026.

Almost surely, 2^4915008000 is an apocalyptic number.

4915008000 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 4915008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10754954496).

4915008000 is an abundant number, since it is smaller than the sum of its proper divisors (16594900992).

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

4915008000 is a wasteful number, since it uses less digits than its factorization.

4915008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 4915008000 is about 70107.1180408951. The cubic root of 4915008000 is about 1700.2315716837.

It can be divided in two parts, 491500 and 8000, that added together give a triangular number (499500 = T₉₉₉).

The spelling of 4915008000 in words is "four billion, nine hundred fifteen million, eight thousand".