1440405005120 has 56 divisors (see below), whose sum is σ = 3430261789704. Its totient is φ = 576112050176.

The previous prime is 1440405005119. The next prime is 1440405005147. The reversal of 1440405005120 is 215005040441.

It can be written as a sum of positive squares in 4 ways, for example, as 734778124864 + 705626880256 = 857192^2 + 840016^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1440405005120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3617864 + ... + 3996216.

Almost surely, 2^{1440405005120} is an apocalyptic number.

1440405005120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1440405005120 is an abundant number, since it is smaller than the sum of its proper divisors (1989856784584).

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

1440405005120 is a wasteful number, since it uses less digits than its factorization.

1440405005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390267 (or 390257 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The spelling of 1440405005120 in words is "one trillion, four hundred forty billion, four hundred five million, five thousand, one hundred twenty".