32340131012224 has 128 divisors (see below), whose sum is σ = 76333701974400. Its totient is φ = 13353462657024.

The previous prime is 32340131012179. The next prime is 32340131012249. The reversal of 32340131012224 is 42221013104323.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 32340131012192 and 32340131012201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10801962 + ... + 13467094.

It is an arithmetic number, because the mean of its divisors is an integer number (596357046675).

Almost surely, 2^{32340131012224} 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 32340131012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38166850987200).

32340131012224 is an abundant number, since it is smaller than the sum of its proper divisors (43993570962176).

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

32340131012224 is a wasteful number, since it uses less digits than its factorization.

32340131012224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665650 (or 2665638 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 32340131012224 its reverse (42221013104323), we get a palindrome (74561144116547).

The spelling of 32340131012224 in words is "thirty-two trillion, three hundred forty billion, one hundred thirty-one million, twelve thousand, two hundred twenty-four".