1442611040 has 144 divisors (see below), whose sum is σ = 3811764096. Its totient is φ = 515174400.

The previous prime is 1442611039. The next prime is 1442611067. The reversal of 1442611040 is 401162441.

It is a happy number.

It is a super-2 number, since 2×1442611040² = 4162253225459763200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1442610997 and 1442611015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 837380 + ... + 839100.

It is an arithmetic number, because the mean of its divisors is an integer number (26470584).

Almost surely, 2^1442611040 is an apocalyptic number.

1442611040 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 1442611040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905882048).

1442611040 is an abundant number, since it is smaller than the sum of its proper divisors (2369153056).

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

1442611040 is a wasteful number, since it uses less digits than its factorization.

1442611040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 1442611040 is about 37981.7198136156. The cubic root of 1442611040 is about 1129.9253455261.

Adding to 1442611040 its reverse (401162441), we get a palindrome (1843773481).

The spelling of 1442611040 in words is "one billion, four hundred forty-two million, six hundred eleven thousand, forty".