1440042320 has 40 divisors (see below), whose sum is σ = 3357648936. Its totient is φ = 574373888.

The previous prime is 1440042313. The next prime is 1440042343. The reversal of 1440042320 is 232400441.

It can be written as a sum of positive squares in 4 ways, for example, as 7268416 + 1432773904 = 2696^2 + 37852^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1440042292 and 1440042301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2744 + ... + 53736.

Almost surely, 2^1440042320 is an apocalyptic number.

1440042320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1440042320 is an abundant number, since it is smaller than the sum of its proper divisors (1917606616).

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

1440042320 is a wasteful number, since it uses less digits than its factorization.

1440042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51359 (or 51353 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1440042320 is about 37947.8895328844. The cubic root of 1440042320 is about 1129.2542969502.

Adding to 1440042320 its reverse (232400441), we get a palindrome (1672442761).

The spelling of 1440042320 in words is "one billion, four hundred forty million, forty-two thousand, three hundred twenty".