32221450401140 has 384 divisors, whose sum is σ = 91486765633536. Its totient is φ = 9205830144000.

The previous prime is 32221450401131. The next prime is 32221450401169. The reversal of 32221450401140 is 4110405412223.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1930460195 + ... + 1930476885.

It is an arithmetic number, because the mean of its divisors is an integer number (238246785504).

Almost surely, 2^{32221450401140} 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 32221450401140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45743382816768).

32221450401140 is an abundant number, since it is smaller than the sum of its proper divisors (59265315232396).

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

32221450401140 is a wasteful number, since it uses less digits than its factorization.

32221450401140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17399 (or 17397 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 32221450401140 its reverse (4110405412223), we get a palindrome (36331855813363).

The spelling of 32221450401140 in words is "thirty-two trillion, two hundred twenty-one billion, four hundred fifty million, four hundred one thousand, one hundred forty".