32142133461240 has 384 divisors, whose sum is σ = 115086760588800. Its totient is φ = 7714987637760.

The previous prime is 32142133461209. The next prime is 32142133461253. The reversal of 32142133461240 is 4216433124123.

32142133461240 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 2 + 1 + 3 + 34 + 612 + 4 + 0 = 666.

32142133461240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 32142133461195 and 32142133461204.

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 95 ways as a sum of consecutive naturals, for example, 615924189 + ... + 615976371.

It is an arithmetic number, because the mean of its divisors is an integer number (299705105700).

Almost surely, 2^{32142133461240} is an apocalyptic number.

32142133461240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32142133461240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57543380294400).

32142133461240 is an abundant number, since it is smaller than the sum of its proper divisors (82944627127560).

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

32142133461240 is a wasteful number, since it uses less digits than its factorization.

32142133461240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53747 (or 53740 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 32142133461240 its reverse (4216433124123), we get a palindrome (36358566585363).

The spelling of 32142133461240 in words is "thirty-two trillion, one hundred forty-two billion, one hundred thirty-three million, four hundred sixty-one thousand, two hundred forty".