1440220320 has 576 divisors, whose sum is σ = 6340239360. Its totient is φ = 288921600.

The previous prime is 1440220319. The next prime is 1440220393. The reversal of 1440220320 is 230220441.

1440220320 is a `hidden beast` number, since 1 + 440 + 2 + 203 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1440220293 and 1440220302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3437071 + ... + 3437489.

It is an arithmetic number, because the mean of its divisors is an integer number (11007360).

Almost surely, 2^1440220320 is an apocalyptic number.

1440220320 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 1440220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170119680).

1440220320 is an abundant number, since it is smaller than the sum of its proper divisors (4900019040).

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

1440220320 is a wasteful number, since it uses less digits than its factorization.

1440220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1440220320 is about 37950.2347818824. The cubic root of 1440220320 is about 1129.3008231253.

Adding to 1440220320 its reverse (230220441), we get a palindrome (1670440761).

The spelling of 1440220320 in words is "one billion, four hundred forty million, two hundred twenty thousand, three hundred twenty".