1442335680 has 224 divisors, whose sum is σ = 5143682880. Its totient is φ = 380436480.

The previous prime is 1442335663. The next prime is 1442335723. The reversal of 1442335680 is 865332441.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 837220 + ... + 838940.

It is an arithmetic number, because the mean of its divisors is an integer number (22962870).

Almost surely, 2^1442335680 is an apocalyptic number.

1442335680 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 1442335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571841440).

1442335680 is an abundant number, since it is smaller than the sum of its proper divisors (3701347200).

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

1442335680 is a wasteful number, since it uses less digits than its factorization.

1442335680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1442335680 is about 37978.0947389413. The cubic root of 1442335680 is about 1129.8534490290.

The spelling of 1442335680 in words is "one billion, four hundred forty-two million, three hundred thirty-five thousand, six hundred eighty".