1444242500400 has 480 divisors, whose sum is σ = 5602054445568. Its totient is φ = 310487040000.

The previous prime is 1444242500377. The next prime is 1444242500419. The reversal of 1444242500400 is 40052424441.

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 95 ways as a sum of consecutive naturals, for example, 321440554 + ... + 321445046.

Almost surely, 2^{1444242500400} is an apocalyptic number.

1444242500400 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 1444242500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2801027222784).

1444242500400 is an abundant number, since it is smaller than the sum of its proper divisors (4157811945168).

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

1444242500400 is a wasteful number, since it uses less digits than its factorization.

1444242500400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6789 (or 6778 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 1444242500400 its reverse (40052424441), we get a palindrome (1484294924841).

The spelling of 1444242500400 in words is "one trillion, four hundred forty-four billion, two hundred forty-two million, five hundred thousand, four hundred".