1344412225200 has 240 divisors, whose sum is σ = 4786755699456. Its totient is φ = 319768550400.

The previous prime is 1344412225187. The next prime is 1344412225201. The reversal of 1344412225200 is 25222144431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1344412225201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261244 + ... + 1660443.

Almost surely, 2^{1344412225200} is an apocalyptic number.

1344412225200 is a gapful number since it is divisible by the number (10) 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 1344412225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393377849728).

1344412225200 is an abundant number, since it is smaller than the sum of its proper divisors (3442343474256).

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

1344412225200 is a wasteful number, since it uses less digits than its factorization.

1344412225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921772 (or 1921761 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 1344412225200 its reverse (25222144431), we get a palindrome (1369634369631).

The spelling of 1344412225200 in words is "one trillion, three hundred forty-four billion, four hundred twelve million, two hundred twenty-five thousand, two hundred".