1442271432 has 256 divisors, whose sum is σ = 4550515200. Its totient is φ = 371589120.

The previous prime is 1442271431. The next prime is 1442271451. The reversal of 1442271432 is 2341722441.

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 1442271432.

It is not an unprimeable number, because it can be changed into a prime (1442271431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12763408 + ... + 12763520.

It is an arithmetic number, because the mean of its divisors is an integer number (17775450).

Almost surely, 2^1442271432 is an apocalyptic number.

1442271432 is a gapful number since it is divisible by the number (12) 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 1442271432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275257600).

1442271432 is an abundant number, since it is smaller than the sum of its proper divisors (3108243768).

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

1442271432 is a wasteful number, since it uses less digits than its factorization.

1442271432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 292 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 1442271432 is about 37977.2488735032. The cubic root of 1442271432 is about 1129.8366725594.

Adding to 1442271432 its reverse (2341722441), we get a palindrome (3783993873).

The spelling of 1442271432 in words is "one billion, four hundred forty-two million, two hundred seventy-one thousand, four hundred thirty-two".