32130414040240 has 120 divisors (see below), whose sum is σ = 77199066760464. Its totient is φ = 12436236172800.

The previous prime is 32130414040229. The next prime is 32130414040279. The reversal of 32130414040240 is 4204041403123.

It is a junction number, because it is equal to n+sod(n) for n = 32130414040199 and 32130414040208.

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 23 ways as a sum of consecutive naturals, for example, 999654570 + ... + 999686710.

Almost surely, 2^{32130414040240} 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 32130414040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38599533380232).

32130414040240 is an abundant number, since it is smaller than the sum of its proper divisors (45068652720224).

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

32130414040240 is a wasteful number, since it uses less digits than its factorization.

32130414040240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45219 (or 45182 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 32130414040240 its reverse (4204041403123), we get a palindrome (36334455443363).

The spelling of 32130414040240 in words is "thirty-two trillion, one hundred thirty billion, four hundred fourteen million, forty thousand, two hundred forty".