1440320832 has 112 divisors (see below), whose sum is σ = 4249399680. Its totient is φ = 478393344.

The previous prime is 1440320831. The next prime is 1440320911. The reversal of 1440320832 is 2380230441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1440320796 and 1440320805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1440320831) 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, 539533 + ... + 542195.

Almost surely, 2^1440320832 is an apocalyptic number.

1440320832 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 1440320832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124699840).

1440320832 is an abundant number, since it is smaller than the sum of its proper divisors (2809078848).

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

1440320832 is a wasteful number, since it uses less digits than its factorization.

1440320832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1440320832 is about 37951.5590193605. The cubic root of 1440320832 is about 1129.3270935605.

The spelling of 1440320832 in words is "one billion, four hundred forty million, three hundred twenty thousand, eight hundred thirty-two".