32640242101200 has 480 divisors, whose sum is σ = 117679301435520. Its totient is φ = 8591946854400.

The previous prime is 32640242101177. The next prime is 32640242101217. The reversal of 32640242101200 is 210124204623.

32640242101200 is a `hidden beast` number, since 3 + 2 + 6 + 402 + 42 + 10 + 1 + 200 = 666.

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

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, 324673342 + ... + 324773858.

It is an arithmetic number, because the mean of its divisors is an integer number (245165211324).

Almost surely, 2^{32640242101200} is an apocalyptic number.

32640242101200 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 32640242101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58839650717760).

32640242101200 is an abundant number, since it is smaller than the sum of its proper divisors (85039059334320).

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

32640242101200 is a wasteful number, since it uses less digits than its factorization.

32640242101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100932 (or 100915 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 32640242101200 its reverse (210124204623), we get a palindrome (32850366305823).

The spelling of 32640242101200 in words is "thirty-two trillion, six hundred forty billion, two hundred forty-two million, one hundred one thousand, two hundred".