1442411616 has 48 divisors (see below), whose sum is σ = 3791149488. Its totient is φ = 480192000.

The previous prime is 1442411591. The next prime is 1442411653. The reversal of 1442411616 is 6161142441.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69666 + ... + 87966.

It is an arithmetic number, because the mean of its divisors is an integer number (78982281).

Almost surely, 2^1442411616 is an apocalyptic number.

1442411616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1442411616 is an abundant number, since it is smaller than the sum of its proper divisors (2348737872).

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

1442411616 is a wasteful number, since it uses less digits than its factorization.

1442411616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19135 (or 19127 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 1442411616 is about 37979.0944599789. The cubic root of 1442411616 is about 1129.8732768327.

The spelling of 1442411616 in words is "one billion, four hundred forty-two million, four hundred eleven thousand, six hundred sixteen".