32105230131040 has 192 divisors, whose sum is σ = 84770459565120. Its totient is φ = 11388755968000.

The previous prime is 32105230131031. The next prime is 32105230131061. The reversal of 32105230131040 is 4013103250123.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 32105230130996 and 32105230131014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1137299646 + ... + 1137327874.

It is an arithmetic number, because the mean of its divisors is an integer number (441512810235).

Almost surely, 2^{32105230131040} 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 32105230131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42385229782560).

32105230131040 is an abundant number, since it is smaller than the sum of its proper divisors (52665229434080).

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

32105230131040 is a wasteful number, since it uses less digits than its factorization.

32105230131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44057 (or 44049 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 32105230131040 its reverse (4013103250123), we get a palindrome (36118333381163).

The spelling of 32105230131040 in words is "thirty-two trillion, one hundred five billion, two hundred thirty million, one hundred thirty-one thousand, forty".