31221441432 has 96 divisors (see below), whose sum is σ = 87468026880. Its totient is φ = 10050402240.

The previous prime is 31221441353. The next prime is 31221441437. The reversal of 31221441432 is 23414412213.

31221441432 is a `hidden beast` number, since 3 + 1 + 2 + 214 + 414 + 32 = 666.

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 = 31221441396 and 31221441405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31221441437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1072623 + ... + 1101345.

It is an arithmetic number, because the mean of its divisors is an integer number (911125280).

Almost surely, 2^31221441432 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 31221441432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43734013440).

31221441432 is an abundant number, since it is smaller than the sum of its proper divisors (56246585448).

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

31221441432 is a wasteful number, since it uses less digits than its factorization.

31221441432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29253 (or 29246 counting only the distinct ones).

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

Adding to 31221441432 its reverse (23414412213), we get a palindrome (54635853645).

The spelling of 31221441432 in words is "thirty-one billion, two hundred twenty-one million, four hundred forty-one thousand, four hundred thirty-two".