1440145005312 has 144 divisors (see below), whose sum is σ = 4130209891808. Its totient is φ = 442854604800.

The previous prime is 1440145005307. The next prime is 1440145005331. The reversal of 1440145005312 is 2135005410441.

It is a self number, because there is not a number n which added to its sum of digits gives 1440145005312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16860312 + ... + 16945512.

Almost surely, 2^{1440145005312} is an apocalyptic number.

1440145005312 is a gapful number since it is divisible by the number (12) 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 1440145005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065104945904).

1440145005312 is an abundant number, since it is smaller than the sum of its proper divisors (2690064886496).

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

1440145005312 is a wasteful number, since it uses less digits than its factorization.

1440145005312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86926 (or 86912 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 1440145005312 in words is "one trillion, four hundred forty billion, one hundred forty-five million, five thousand, three hundred twelve".