4994128800 has 108 divisors (see below), whose sum is σ = 17610572070. Its totient is φ = 1331765760.

The previous prime is 4994128781. The next prime is 4994128813. The reversal of 4994128800 is 88214994.

It can be written as a sum of positive squares in 3 ways, for example, as 3746908944 + 1247219856 = 61212^2 + 35316^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 339615 + ... + 354014.

Almost surely, 2^4994128800 is an apocalyptic number.

4994128800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4994128800 is an abundant number, since it is smaller than the sum of its proper divisors (12616443270).

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

4994128800 is a wasteful number, since it uses less digits than its factorization.

4994128800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693655 (or 693639 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 4994128800 is about 70669.1502708219. The cubic root of 4994128800 is about 1709.3063771446.

The spelling of 4994128800 in words is "four billion, nine hundred ninety-four million, one hundred twenty-eight thousand, eight hundred".