1144440224400 has 960 divisors, whose sum is σ = 4340165068800. Its totient is φ = 254693376000.

The previous prime is 1144440224327. The next prime is 1144440224419. The reversal of 1144440224400 is 44220444411.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1736631271 + ... + 1736631929.

It is an arithmetic number, because the mean of its divisors is an integer number (4521005280).

Almost surely, 2^{1144440224400} is an apocalyptic number.

1144440224400 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 1144440224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170082534400).

1144440224400 is an abundant number, since it is smaller than the sum of its proper divisors (3195724844400).

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

1144440224400 is a wasteful number, since it uses less digits than its factorization.

1144440224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 1144440224400 its reverse (44220444411), we get a palindrome (1188660668811).

The spelling of 1144440224400 in words is "one trillion, one hundred forty-four billion, four hundred forty million, two hundred twenty-four thousand, four hundred".