32042214400 has 132 divisors (see below), whose sum is σ = 90772954048. Its totient is φ = 10985840640.

The previous prime is 32042214367. The next prime is 32042214401. The reversal of 32042214400 is 441224023.

It is a happy number.

It is a super-5 number, since 5×32042214400⁵ (a number of 54 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (32042214401) 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 11 ways as a sum of consecutive naturals, for example, 89797 + ... + 268603.

Almost surely, 2^32042214400 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 32042214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45386477024).

32042214400 is an abundant number, since it is smaller than the sum of its proper divisors (58730739648).

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

32042214400 is a wasteful number, since it uses less digits than its factorization.

32042214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178844 (or 178821 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 32042214400 its reverse (441224023), we get a palindrome (32483438423).

The spelling of 32042214400 in words is "thirty-two billion, forty-two million, two hundred fourteen thousand, four hundred".