2444325401200 has 240 divisors, whose sum is σ = 6124841244000. Its totient is φ = 936292331520.

The previous prime is 2444325401149. The next prime is 2444325401209. The reversal of 2444325401200 is 21045234442.

It is a super-2 number, since 2×2444325401200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444325401209) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1509773991 + ... + 1509775609.

It is an arithmetic number, because the mean of its divisors is an integer number (25520171850).

Almost surely, 2^{2444325401200} is an apocalyptic number.

2444325401200 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 2444325401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062420622000).

2444325401200 is an abundant number, since it is smaller than the sum of its proper divisors (3680515842800).

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

2444325401200 is a wasteful number, since it uses less digits than its factorization.

2444325401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

The spelling of 2444325401200 in words is "two trillion, four hundred forty-four billion, three hundred twenty-five million, four hundred one thousand, two hundred".