32413412224 has 64 divisors (see below), whose sum is σ = 66011299200. Its totient is φ = 15849377280.

The previous prime is 32413412099. The next prime is 32413412231. The reversal of 32413412224 is 42221431423.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 32413412192 and 32413412201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1178469 + ... + 1205659.

It is an arithmetic number, because the mean of its divisors is an integer number (1031426550).

Almost surely, 2^32413412224 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 32413412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33005649600).

32413412224 is an abundant number, since it is smaller than the sum of its proper divisors (33597886976).

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

32413412224 is a wasteful number, since it uses less digits than its factorization.

32413412224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27411 (or 27399 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

Adding to 32413412224 its reverse (42221431423), we get a palindrome (74634843647).

The spelling of 32413412224 in words is "thirty-two billion, four hundred thirteen million, four hundred twelve thousand, two hundred twenty-four".