4992128400 has 480 divisors, whose sum is σ = 19878092800. Its totient is φ = 1045094400.

The previous prime is 4992128371. The next prime is 4992128417. The reversal of 4992128400 is 48212994.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4947096 + ... + 4948104.

Almost surely, 2^4992128400 is an apocalyptic number.

4992128400 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 4992128400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9939046400).

4992128400 is an abundant number, since it is smaller than the sum of its proper divisors (14885964400).

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

4992128400 is a wasteful number, since it uses less digits than its factorization.

4992128400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 4992128400 is about 70654.9955770999. The cubic root of 4992128400 is about 1709.0781255817.

The spelling of 4992128400 in words is "four billion, nine hundred ninety-two million, one hundred twenty-eight thousand, four hundred".