32414422204320 has 1536 divisors, whose sum is σ = 123026004541440. Its totient is φ = 7100006400000.

The previous prime is 32414422204231. The next prime is 32414422204327. The reversal of 32414422204320 is 2340222441423.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (32414422204327) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 37823129332 + ... + 37823130188.

It is an arithmetic number, because the mean of its divisors is an integer number (80095055040).

Almost surely, 2^{32414422204320} is an apocalyptic number.

32414422204320 is a gapful number since it is divisible by the number (30) 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 32414422204320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61513002270720).

32414422204320 is an abundant number, since it is smaller than the sum of its proper divisors (90611582337120).

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

32414422204320 is a wasteful number, since it uses less digits than its factorization.

32414422204320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 32414422204320 its reverse (2340222441423), we get a palindrome (34754644645743).

The spelling of 32414422204320 in words is "thirty-two trillion, four hundred fourteen billion, four hundred twenty-two million, two hundred four thousand, three hundred twenty".