1440427680 has 288 divisors, whose sum is σ = 5386726800. Its totient is φ = 348880896.

The previous prime is 1440427673. The next prime is 1440427783. The reversal of 1440427680 is 867240441.

It can be written as a sum of positive squares in 8 ways, for example, as 1272776976 + 167650704 = 35676^2 + 12948^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

1440427680 is a modest number, since divided by 427680 gives 1440 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 708906 + ... + 710934.

Almost surely, 2^1440427680 is an apocalyptic number.

1440427680 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 1440427680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693363400).

1440427680 is an abundant number, since it is smaller than the sum of its proper divisors (3946299120).

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

1440427680 is a wasteful number, since it uses less digits than its factorization.

1440427680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 1440427680 is about 37952.9666824611. The cubic root of 1440427680 is about 1129.3550186716.

The spelling of 1440427680 in words is "one billion, four hundred forty million, four hundred twenty-seven thousand, six hundred eighty".