432142225521 has 128 divisors (see below), whose sum is σ = 689344266240. Its totient is φ = 238862131200.

The previous prime is 432142225517. The next prime is 432142225553. The reversal of 432142225521 is 125522241234.

It is not a de Polignac number, because 432142225521 - 2² = 432142225517 is a prime.

It is not an unprimeable number, because it can be changed into a prime (432142225561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82514515 + ... + 82519751.

It is an arithmetic number, because the mean of its divisors is an integer number (5385502080).

Almost surely, 2^432142225521 is an apocalyptic number.

432142225521 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

432142225521 is a deficient number, since it is larger than the sum of its proper divisors (257202040719).

432142225521 is a wasteful number, since it uses less digits than its factorization.

432142225521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5415.

The product of its digits is 38400, while the sum is 33.

Adding to 432142225521 its reverse (125522241234), we get a palindrome (557664466755).

The spelling of 432142225521 in words is "four hundred thirty-two billion, one hundred forty-two million, two hundred twenty-five thousand, five hundred twenty-one".