1440040224 has 192 divisors, whose sum is σ = 4462214400. Its totient is φ = 406425600.

The previous prime is 1440040207. The next prime is 1440040297. The reversal of 1440040224 is 4220400441.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1440040224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3325512 + ... + 3325944.

It is an arithmetic number, because the mean of its divisors is an integer number (23240700).

Almost surely, 2^1440040224 is an apocalyptic number.

1440040224 is a gapful number since it is divisible by the number (14) 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 1440040224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231107200).

1440040224 is an abundant number, since it is smaller than the sum of its proper divisors (3022174176).

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

1440040224 is a wasteful number, since it uses less digits than its factorization.

1440040224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 1440040224 is about 37947.8619160553. The cubic root of 1440040224 is about 1129.2537490686.

Adding to 1440040224 its reverse (4220400441), we get a palindrome (5660440665).

The spelling of 1440040224 in words is "one billion, four hundred forty million, forty thousand, two hundred twenty-four".