4994128000 has 256 divisors, whose sum is σ = 13312615680. Its totient is φ = 1858560000.

The previous prime is 4994127989. The next prime is 4994128003. The reversal of 4994128000 is 8214994.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4994128003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15087835 + ... + 15088165.

It is an arithmetic number, because the mean of its divisors is an integer number (52002405).

Almost surely, 2^4994128000 is an apocalyptic number.

4994128000 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 4994128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6656307840).

4994128000 is an abundant number, since it is smaller than the sum of its proper divisors (8318487680).

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

4994128000 is a wasteful number, since it uses less digits than its factorization.

4994128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 4994128000 is about 70669.1446106432. The cubic root of 4994128000 is about 1709.3062858744.

The spelling of 4994128000 in words is "four billion, nine hundred ninety-four million, one hundred twenty-eight thousand".