1444508412480 has 504 divisors, whose sum is σ = 5786159860728. Its totient is φ = 329803923456.

The previous prime is 1444508412449. The next prime is 1444508412499. The reversal of 1444508412480 is 842148054441.

It is a happy number.

1444508412480 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 508 + 41 + 24 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 630918844416 + 813589568064 = 794304^2 + 901992^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 137869002 + ... + 137879478.

Almost surely, 2^{1444508412480} is an apocalyptic number.

1444508412480 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 1444508412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893079930364).

1444508412480 is an abundant number, since it is smaller than the sum of its proper divisors (4341651448248).

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

1444508412480 is a wasteful number, since it uses less digits than its factorization.

1444508412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11491 (or 11471 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 1444508412480 in words is "one trillion, four hundred forty-four billion, five hundred eight million, four hundred twelve thousand, four hundred eighty".