244401342400 has 84 divisors (see below), whose sum is σ = 603962004672. Its totient is φ = 97340815360.

The previous prime is 244401342377. The next prime is 244401342439. The reversal of 244401342400 is 4243104442.

244401342400 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 45009 + ... + 700591.

Almost surely, 2^244401342400 is an apocalyptic number.

244401342400 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 244401342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301981002336).

244401342400 is an abundant number, since it is smaller than the sum of its proper divisors (359560662272).

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

244401342400 is a wasteful number, since it uses less digits than its factorization.

244401342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655838 (or 655823 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 244401342400 its reverse (4243104442), we get a palindrome (248644446842).

The spelling of 244401342400 in words is "two hundred forty-four billion, four hundred one million, three hundred forty-two thousand, four hundred".