244004332020400 has 240 divisors, whose sum is σ = 710154760043520. Its totient is φ = 78651088588800.

The previous prime is 244004332020377. The next prime is 244004332020419. The reversal of 244004332020400 is 4020233400442.

It is a happy number.

It is a super-2 number, since 2×244004332020400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40550131 + ... + 46177069.

It is an arithmetic number, because the mean of its divisors is an integer number (2958978166848).

Almost surely, 2^{244004332020400} is an apocalyptic number.

244004332020400 is a gapful number since it is divisible by the number (20) 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 244004332020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355077380021760).

244004332020400 is an abundant number, since it is smaller than the sum of its proper divisors (466150428023120).

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

244004332020400 is a wasteful number, since it uses less digits than its factorization.

244004332020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5627892 (or 5627881 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 244004332020400 its reverse (4020233400442), we get a palindrome (248024565420842).

The spelling of 244004332020400 in words is "two hundred forty-four trillion, four billion, three hundred thirty-two million, twenty thousand, four hundred".