32144312033340 has 192 divisors, whose sum is σ = 98177724395520. Its totient is φ = 7810919838720.

The previous prime is 32144312033279. The next prime is 32144312033347. The reversal of 32144312033340 is 4333021344123.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32144312033347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22342857 + ... + 23737983.

It is an arithmetic number, because the mean of its divisors is an integer number (511342314560).

Almost surely, 2^{32144312033340} is an apocalyptic number.

32144312033340 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 32144312033340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49088862197760).

32144312033340 is an abundant number, since it is smaller than the sum of its proper divisors (66033412362180).

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

32144312033340 is a wasteful number, since it uses less digits than its factorization.

32144312033340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395532 (or 1395530 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 32144312033340 its reverse (4333021344123), we get a palindrome (36477333377463).

The spelling of 32144312033340 in words is "thirty-two trillion, one hundred forty-four billion, three hundred twelve million, thirty-three thousand, three hundred forty".