1444504147680 has 768 divisors, whose sum is σ = 5450094139392. Its totient is φ = 317915136000.

The previous prime is 1444504147661. The next prime is 1444504147687. The reversal of 1444504147680 is 867414054441.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444504147687) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 184220560 + ... + 184228400.

It is an arithmetic number, because the mean of its divisors is an integer number (7096476744).

Almost surely, 2^{1444504147680} is an apocalyptic number.

1444504147680 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 1444504147680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725047069696).

1444504147680 is an abundant number, since it is smaller than the sum of its proper divisors (4005589991712).

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

1444504147680 is a wasteful number, since it uses less digits than its factorization.

1444504147680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7971 (or 7963 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 1444504147680 in words is "one trillion, four hundred forty-four billion, five hundred four million, one hundred forty-seven thousand, six hundred eighty".