1442800736 has 96 divisors (see below), whose sum is σ = 3157418880. Its totient is φ = 644806656.

The previous prime is 1442800699. The next prime is 1442800753. The reversal of 1442800736 is 6370082441.

It is a junction number, because it is equal to n+sod(n) for n = 1442800696 and 1442800705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2130830 + ... + 2131506.

It is an arithmetic number, because the mean of its divisors is an integer number (32889780).

Almost surely, 2^1442800736 is an apocalyptic number.

1442800736 is a gapful number since it is divisible by the number (16) 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 1442800736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578709440).

1442800736 is an abundant number, since it is smaller than the sum of its proper divisors (1714618144).

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

1442800736 is a wasteful number, since it uses less digits than its factorization.

1442800736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 1442800736 is about 37984.2169328262. The cubic root of 1442800736 is about 1129.9748698304.

The spelling of 1442800736 in words is "one billion, four hundred forty-two million, eight hundred thousand, seven hundred thirty-six".