1432132224 has 128 divisors (see below), whose sum is σ = 4080326400. Its totient is φ = 443449344.

The previous prime is 1432132199. The next prime is 1432132271. The reversal of 1432132224 is 4222312341.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 1432132194 and 1432132203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514324 + ... + 517100.

It is an arithmetic number, because the mean of its divisors is an integer number (31877550).

Almost surely, 2^1432132224 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 1432132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040163200).

1432132224 is an abundant number, since it is smaller than the sum of its proper divisors (2648194176).

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

1432132224 is a wasteful number, since it uses less digits than its factorization.

1432132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890 (or 2878 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 1432132224 is about 37843.5228804085. The cubic root of 1432132224 is about 1127.1828496564.

Adding to 1432132224 its reverse (4222312341), we get a palindrome (5654444565).

The spelling of 1432132224 in words is "one billion, four hundred thirty-two million, one hundred thirty-two thousand, two hundred twenty-four".