1440225720 has 288 divisors, whose sum is σ = 5057395200. Its totient is φ = 355332096.

The previous prime is 1440225713. The next prime is 1440225727. The reversal of 1440225720 is 275220441.

1440225720 is a `hidden beast` number, since 1 + 4 + 402 + 257 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1440225713) and next prime (1440225727).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1440225727) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11340297 + ... + 11340423.

It is an arithmetic number, because the mean of its divisors is an integer number (17560400).

Almost surely, 2^1440225720 is an apocalyptic number.

1440225720 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 1440225720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528697600).

1440225720 is an abundant number, since it is smaller than the sum of its proper divisors (3617169480).

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

1440225720 is a wasteful number, since it uses less digits than its factorization.

1440225720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 1440225720 is about 37950.3059276207. The cubic root of 1440225720 is about 1129.3022345336.

The spelling of 1440225720 in words is "one billion, four hundred forty million, two hundred twenty-five thousand, seven hundred twenty".