32401242016 has 192 divisors, whose sum is σ = 77546004480. Its totient is φ = 13130357760.

The previous prime is 32401242007. The next prime is 32401242043. The reversal of 32401242016 is 61024210423.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16989735 + ... + 16991641.

It is an arithmetic number, because the mean of its divisors is an integer number (403885440).

Almost surely, 2^32401242016 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 32401242016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38773002240).

32401242016 is an abundant number, since it is smaller than the sum of its proper divisors (45144762464).

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

32401242016 is a wasteful number, since it uses less digits than its factorization.

32401242016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 32401242016 its reverse (61024210423), we get a palindrome (93425452439).

The spelling of 32401242016 in words is "thirty-two billion, four hundred one million, two hundred forty-two thousand, sixteen".