32140420240032 has 192 divisors, whose sum is σ = 106892348492160. Its totient is φ = 9307632955392.

The previous prime is 32140420240013. The next prime is 32140420240069. The reversal of 32140420240032 is 23004202404123.

32140420240032 is a `hidden beast` number, since 3 + 21 + 4 + 0 + 4 + 202 + 400 + 32 = 666.

It is a super-2 number, since 2×32140420240032² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 32140420239978 and 32140420240005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83970958 + ... + 84352845.

It is an arithmetic number, because the mean of its divisors is an integer number (556730981730).

Almost surely, 2^{32140420240032} is an apocalyptic number.

32140420240032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32140420240032 is an abundant number, since it is smaller than the sum of its proper divisors (74751928252128).

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

32140420240032 is a wasteful number, since it uses less digits than its factorization.

32140420240032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168323852 (or 168323838 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 32140420240032 its reverse (23004202404123), we get a palindrome (55144622644155).

The spelling of 32140420240032 in words is "thirty-two trillion, one hundred forty billion, four hundred twenty million, two hundred forty thousand, thirty-two".