4995234817920 has 1536 divisors, whose sum is σ = 19616313600000. Its totient is φ = 1197761789952.

The previous prime is 4995234817913. The next prime is 4995234817933. The reversal of 4995234817920 is 297184325994.

4995234817920 is a `hidden beast` number, since 4 + 9 + 9 + 523 + 4 + 8 + 17 + 92 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21813252366 + ... + 21813252594.

It is an arithmetic number, because the mean of its divisors is an integer number (12771037500).

Almost surely, 2^{4995234817920} is an apocalyptic number.

4995234817920 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 4995234817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9808156800000).

4995234817920 is an abundant number, since it is smaller than the sum of its proper divisors (14621078782080).

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

4995234817920 is a wasteful number, since it uses less digits than its factorization.

4995234817920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 4995234817920 in words is "four trillion, nine hundred ninety-five billion, two hundred thirty-four million, eight hundred seventeen thousand, nine hundred twenty".