1442468688 has 60 divisors (see below), whose sum is σ = 3850583904. Its totient is φ = 465297600.

The previous prime is 1442468623. The next prime is 1442468689. The reversal of 1442468688 is 8868642441.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1442468688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442468689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30493 + ... + 61763.

Almost surely, 2^1442468688 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 1442468688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925291952).

1442468688 is an abundant number, since it is smaller than the sum of its proper divisors (2408115216).

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

1442468688 is a wasteful number, since it uses less digits than its factorization.

1442468688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31344 (or 31307 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 51.

The square root of 1442468688 is about 37979.8458132731. The cubic root of 1442468688 is about 1129.8881785608. Note that the first 3 decimals are identical.

The spelling of 1442468688 in words is "one billion, four hundred forty-two million, four hundred sixty-eight thousand, six hundred eighty-eight".