1442302416 has 80 divisors (see below), whose sum is σ = 4144824000. Its totient is φ = 480200832.

The previous prime is 1442302399. The next prime is 1442302417. The reversal of 1442302416 is 6142032441.

It is a happy number.

1442302416 is a `hidden beast` number, since 14 + 4 + 230 + 2 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1442302416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442302417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533035 + ... + 535733.

It is an arithmetic number, because the mean of its divisors is an integer number (51810300).

Almost surely, 2^1442302416 is an apocalyptic number.

1442302416 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 1442302416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072412000).

1442302416 is an abundant number, since it is smaller than the sum of its proper divisors (2702521584).

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

1442302416 is a wasteful number, since it uses less digits than its factorization.

1442302416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3953 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1442302416 is about 37977.6567997553. The cubic root of 1442302416 is about 1129.8447631790.

Adding to 1442302416 its reverse (6142032441), we get a palindrome (7584334857).

The spelling of 1442302416 in words is "one billion, four hundred forty-two million, three hundred two thousand, four hundred sixteen".