1244253320400 has 120 divisors (see below), whose sum is σ = 3987875384640. Its totient is φ = 331624632320.

The previous prime is 1244253320381. The next prime is 1244253320407. The reversal of 1244253320400 is 40233524421.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1244253320407) 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 23 ways as a sum of consecutive naturals, for example, 1992349 + ... + 2541251.

It is an arithmetic number, because the mean of its divisors is an integer number (33232294872).

Almost surely, 2^{1244253320400} is an apocalyptic number.

1244253320400 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 1244253320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993937692320).

1244253320400 is an abundant number, since it is smaller than the sum of its proper divisors (2743622064240).

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

1244253320400 is a wasteful number, since it uses less digits than its factorization.

1244253320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550813 (or 550802 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 1244253320400 its reverse (40233524421), we get a palindrome (1284486844821).

The spelling of 1244253320400 in words is "one trillion, two hundred forty-four billion, two hundred fifty-three million, three hundred twenty thousand, four hundred".