1440455552320 has 112 divisors (see below), whose sum is σ = 3478081535568. Its totient is φ = 568124375040.

The previous prime is 1440455552317. The next prime is 1440455552329. The reversal of 1440455552320 is 232555540441.

It can be written as a sum of positive squares in 8 ways, for example, as 15908272384 + 1424547279936 = 126128^2 + 1193544^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1440455552329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108780900 + ... + 108794140.

Almost surely, 2^{1440455552320} is an apocalyptic number.

1440455552320 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 1440455552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739040767784).

1440455552320 is an abundant number, since it is smaller than the sum of its proper divisors (2037625983248).

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

1440455552320 is a wasteful number, since it uses less digits than its factorization.

1440455552320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17988 (or 17978 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 40.

The spelling of 1440455552320 in words is "one trillion, four hundred forty billion, four hundred fifty-five million, five hundred fifty-two thousand, three hundred twenty".