32420424000224 has 96 divisors (see below), whose sum is σ = 69839493071040. Its totient is φ = 14724199526400.

The previous prime is 32420424000221. The next prime is 32420424000229. The reversal of 32420424000224 is 42200042402423.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32420424000221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14334842 + ... + 16441670.

It is an arithmetic number, because the mean of its divisors is an integer number (727494719490).

Almost surely, 2^{32420424000224} 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 32420424000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34919746535520).

32420424000224 is an abundant number, since it is smaller than the sum of its proper divisors (37419069070816).

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

32420424000224 is a wasteful number, since it uses less digits than its factorization.

32420424000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107444 (or 2107436 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 29.

Adding to 32420424000224 its reverse (42200042402423), we get a palindrome (74620466402647).

The spelling of 32420424000224 in words is "thirty-two trillion, four hundred twenty billion, four hundred twenty-four million, two hundred twenty-four", and thus it is an aban number.