1444875480576 has 1120 divisors, whose sum is σ = 5069946359808. Its totient is φ = 406332702720.

The previous prime is 1444875480511. The next prime is 1444875480589. The reversal of 1444875480576 is 6750845784441.

1444875480576 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 8 + 7 + 54 + 8 + 0 + 576 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8864266671 + ... + 8864266833.

Almost surely, 2^{1444875480576} is an apocalyptic number.

1444875480576 is a gapful number since it is divisible by the number (16) 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 1444875480576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534973179904).

1444875480576 is an abundant number, since it is smaller than the sum of its proper divisors (3625070879232).

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

1444875480576 is a wasteful number, since it uses less digits than its factorization.

1444875480576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 120422400, while the sum is 63.

The spelling of 1444875480576 in words is "one trillion, four hundred forty-four billion, eight hundred seventy-five million, four hundred eighty thousand, five hundred seventy-six".