1440769680 has 400 divisors, whose sum is σ = 5971832064. Its totient is φ = 314772480.

The previous prime is 1440769667. The next prime is 1440769691. The reversal of 1440769680 is 869670441.

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

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 79 ways as a sum of consecutive naturals, for example, 1042590 + ... + 1043970.

Almost surely, 2^1440769680 is an apocalyptic number.

1440769680 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 1440769680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985916032).

1440769680 is an abundant number, since it is smaller than the sum of its proper divisors (4531062384).

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

1440769680 is a wasteful number, since it uses less digits than its factorization.

1440769680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1440769680 is about 37957.4719916909. The cubic root of 1440769680 is about 1129.4443923249. Note that the first 3 decimals are identical.

The spelling of 1440769680 in words is "one billion, four hundred forty million, seven hundred sixty-nine thousand, six hundred eighty".