32514235200040 has 128 divisors (see below), whose sum is σ = 79932059712000. Its totient is φ = 11804938778880.

The previous prime is 32514235200037. The next prime is 32514235200049. The reversal of 32514235200040 is 4000253241523.

It is a junction number, because it is equal to n+sod(n) for n = 32514235199975 and 32514235200011.

It is not an unprimeable number, because it can be changed into a prime (32514235200049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1419390267 + ... + 1419413173.

It is an arithmetic number, because the mean of its divisors is an integer number (624469216500).

Almost surely, 2^{32514235200040} 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 32514235200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39966029856000).

32514235200040 is an abundant number, since it is smaller than the sum of its proper divisors (47417824511960).

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

32514235200040 is a wasteful number, since it uses less digits than its factorization.

32514235200040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27815 (or 27811 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 32514235200040 its reverse (4000253241523), we get a palindrome (36514488441563).

The spelling of 32514235200040 in words is "thirty-two trillion, five hundred fourteen billion, two hundred thirty-five million, two hundred thousand, forty".