32541404240000 has 80 divisors (see below), whose sum is σ = 81009792216870. Its totient is φ = 13016561664000.

The previous prime is 32541404239979. The next prime is 32541404240011. The reversal of 32541404240000 is 4240414523.

It can be written as a sum of positive squares in 5 ways, for example, as 1221979906624 + 31319424333376 = 1105432^2 + 5596376^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×32541404240000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 203303777 + ... + 203463776.

Almost surely, 2^{32541404240000} is an apocalyptic number.

It is an amenable number.

32541404240000 is an abundant number, since it is smaller than the sum of its proper divisors (48468387976870).

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

32541404240000 is an frugal number, since it uses more digits than its factorization.

32541404240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406767587 (or 406767560 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 32541404240000 its reverse (4240414523), we get a palindrome (32545644654523).

The spelling of 32541404240000 in words is "thirty-two trillion, five hundred forty-one billion, four hundred four million, two hundred forty thousand".