1440795960 has 96 divisors (see below), whose sum is σ = 4688087040. Its totient is φ = 383761152.

The previous prime is 1440795953. The next prime is 1440795977. The reversal of 1440795960 is 695970441.

1440795960 is a `hidden beast` number, since 14 + 40 + 7 + 9 + 596 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 400329 + ... + 403911.

It is an arithmetic number, because the mean of its divisors is an integer number (48834240).

Almost surely, 2^1440795960 is an apocalyptic number.

1440795960 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 1440795960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344043520).

1440795960 is an abundant number, since it is smaller than the sum of its proper divisors (3247291080).

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

1440795960 is a wasteful number, since it uses less digits than its factorization.

1440795960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4717 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1440795960 is about 37957.8181670127. The cubic root of 1440795960 is about 1129.4512593994.

The spelling of 1440795960 in words is "one billion, four hundred forty million, seven hundred ninety-five thousand, nine hundred sixty".