1442003632 has 80 divisors (see below), whose sum is σ = 2999808000. Its totient is φ = 669537792.

The previous prime is 1442003623. The next prime is 1442003639. The reversal of 1442003632 is 2363002441.

It is a junction number, because it is equal to n+sod(n) for n = 1442003597 and 1442003606.

It is not an unprimeable number, because it can be changed into a prime (1442003639) by changing a digit.

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, 6033369 + ... + 6033607.

It is an arithmetic number, because the mean of its divisors is an integer number (37497600).

Almost surely, 2^1442003632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442003632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499904000).

1442003632 is an abundant number, since it is smaller than the sum of its proper divisors (1557804368).

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

1442003632 is a wasteful number, since it uses less digits than its factorization.

1442003632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 1442003632 is about 37973.7229146682. The cubic root of 1442003632 is about 1129.7667391236.

The spelling of 1442003632 in words is "one billion, four hundred forty-two million, three thousand, six hundred thirty-two".