4992321945600 has 2304 divisors, whose sum is σ = 21554954323200. Its totient is φ = 1123024896000.

The previous prime is 4992321945553. The next prime is 4992321945619. The reversal of 4992321945600 is 65491232994.

4992321945600 is a `hidden beast` number, since 4 + 9 + 9 + 2 + 3 + 21 + 9 + 4 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70314393565 + ... + 70314393635.

It is an arithmetic number, because the mean of its divisors is an integer number (9355448925).

Almost surely, 2^{4992321945600} is an apocalyptic number.

4992321945600 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 4992321945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10777477161600).

4992321945600 is an abundant number, since it is smaller than the sum of its proper divisors (16562632377600).

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

4992321945600 is a wasteful number, since it uses less digits than its factorization.

4992321945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 4992321945600 in words is "four trillion, nine hundred ninety-two billion, three hundred twenty-one million, nine hundred forty-five thousand, six hundred".