4923393227424 has 768 divisors, whose sum is σ = 17624471961600. Its totient is φ = 1307355033600.

The previous prime is 4923393227413. The next prime is 4923393227449. The reversal of 4923393227424 is 4247223933294.

It is a happy number.

4923393227424 is a `hidden beast` number, since 4 + 9 + 2 + 3 + 393 + 227 + 4 + 24 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 502843969 + ... + 502853759.

It is an arithmetic number, because the mean of its divisors is an integer number (22948531200).

Almost surely, 2^{4923393227424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4923393227424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8812235980800).

4923393227424 is an abundant number, since it is smaller than the sum of its proper divisors (12701078734176).

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

4923393227424 is a wasteful number, since it uses less digits than its factorization.

4923393227424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9954 (or 9940 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 54.

The spelling of 4923393227424 in words is "four trillion, nine hundred twenty-three billion, three hundred ninety-three million, two hundred twenty-seven thousand, four hundred twenty-four".