4493244337920 has 2304 divisors, whose sum is σ = 18489763676160. Its totient is φ = 1038405795840.

The previous prime is 4493244337913. The next prime is 4493244337931. The reversal of 4493244337920 is 297334423944.

It is a happy number.

4493244337920 is a `hidden beast` number, since 4 + 4 + 9 + 3 + 244 + 3 + 379 + 20 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 63285131485 + ... + 63285131555.

It is an arithmetic number, because the mean of its divisors is an integer number (8025071040).

Almost surely, 2^{4493244337920} is an apocalyptic number.

4493244337920 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 4493244337920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9244881838080).

4493244337920 is an abundant number, since it is smaller than the sum of its proper divisors (13996519338240).

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

4493244337920 is an equidigital number, since it uses as much as digits as its factorization.

4493244337920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 178 counting only the distinct ones).

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

The spelling of 4493244337920 in words is "four trillion, four hundred ninety-three billion, two hundred forty-four million, three hundred thirty-seven thousand, nine hundred twenty".