4992594739200 has 1296 divisors, whose sum is σ = 19039517392896. Its totient is φ = 1248539443200.

The previous prime is 4992594739199. The next prime is 4992594739259. The reversal of 4992594739200 is 29374952994.

4992594739200 is a `hidden beast` number, since 4 + 9 + 9 + 2 + 594 + 7 + 39 + 2 + 0 + 0 = 666.

It is a super-3 number, since 3×4992594739200³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39311769537 + ... + 39311769663.

Almost surely, 2^{4992594739200} is an apocalyptic number.

4992594739200 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 4992594739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9519758696448).

4992594739200 is an abundant number, since it is smaller than the sum of its proper divisors (14046922653696).

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

4992594739200 is a wasteful number, since it uses less digits than its factorization.

4992594739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 4992594739200 in words is "four trillion, nine hundred ninety-two billion, five hundred ninety-four million, seven hundred thirty-nine thousand, two hundred".