32440712022432 has 288 divisors, whose sum is σ = 106256429959680. Its totient is φ = 9196350958080.

The previous prime is 32440712022431. The next prime is 32440712022451. The reversal of 32440712022432 is 23422021704423.

32440712022432 is a `hidden beast` number, since 3 + 2 + 4 + 407 + 1 + 2 + 0 + 2 + 243 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (32440712022431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2620618419 + ... + 2620630797.

It is an arithmetic number, because the mean of its divisors is an integer number (368945937360).

Almost surely, 2^{32440712022432} is an apocalyptic number.

32440712022432 is a gapful number since it is divisible by the number (32) 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 32440712022432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53128214979840).

32440712022432 is an abundant number, since it is smaller than the sum of its proper divisors (73815717937248).

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

32440712022432 is a wasteful number, since it uses less digits than its factorization.

32440712022432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22456 (or 22445 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

Adding to 32440712022432 its reverse (23422021704423), we get a palindrome (55862733726855).

The spelling of 32440712022432 in words is "thirty-two trillion, four hundred forty billion, seven hundred twelve million, twenty-two thousand, four hundred thirty-two".