4493084424192 has 2592 divisors, whose sum is σ = 18375447767040. Its totient is φ = 1032380743680.

The previous prime is 4493084424187. The next prime is 4493084424193. The reversal of 4493084424192 is 2914244803944.

4493084424192 is a `hidden beast` number, since 4 + 4 + 9 + 3 + 0 + 8 + 442 + 4 + 192 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4493084424193) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 144938207217 + ... + 144938207247.

It is an arithmetic number, because the mean of its divisors is an integer number (7089293120).

Almost surely, 2^{4493084424192} is an apocalyptic number.

4493084424192 is a gapful number since it is divisible by the number (42) 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 4493084424192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9187723883520).

4493084424192 is an abundant number, since it is smaller than the sum of its proper divisors (13882363342848).

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

4493084424192 is a wasteful number, since it uses less digits than its factorization.

4493084424192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 4493084424192 in words is "four trillion, four hundred ninety-three billion, eighty-four million, four hundred twenty-four thousand, one hundred ninety-two".