1440807840 has 144 divisors (see below), whose sum is σ = 4948850088. Its totient is φ = 381708288.

The previous prime is 1440807839. The next prime is 1440807859. The reversal of 1440807840 is 487080441.

It is a happy number.

1440807840 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1230325776 + 210482064 = 35076^2 + 14508^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1440807795 and 1440807804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222894 + ... + 229266.

Almost surely, 2^1440807840 is an apocalyptic number.

1440807840 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 1440807840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474425044).

1440807840 is an abundant number, since it is smaller than the sum of its proper divisors (3508042248).

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

1440807840 is a wasteful number, since it uses less digits than its factorization.

1440807840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6551 (or 6540 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 1440807840 is about 37957.9746561905. The cubic root of 1440807840 is about 1129.4543636659.

The spelling of 1440807840 in words is "one billion, four hundred forty million, eight hundred seven thousand, eight hundred forty".