5044324240800 has 1728 divisors, whose sum is σ = 20642938767360. Its totient is φ = 1149603840000.

The previous prime is 5044324240783. The next prime is 5044324240807. The reversal of 5044324240800 is 80424234405.

5044324240800 is a `hidden beast` number, since 5 + 0 + 4 + 4 + 3 + 242 + 408 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5044324240807) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12706106202 + ... + 12706106598.

It is an arithmetic number, because the mean of its divisors is an integer number (11946145120).

Almost surely, 2^{5044324240800} is an apocalyptic number.

5044324240800 is a gapful number since it is divisible by the number (50) 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 5044324240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10321469383680).

5044324240800 is an abundant number, since it is smaller than the sum of its proper divisors (15598614526560).

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

5044324240800 is a wasteful number, since it uses less digits than its factorization.

5044324240800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 5044324240800 in words is "five trillion, forty-four billion, three hundred twenty-four million, two hundred forty thousand, eight hundred".