32540541024 has 192 divisors, whose sum is σ = 92830510080. Its totient is φ = 9940869120.

The previous prime is 32540541017. The next prime is 32540541037. The reversal of 32540541024 is 42014504523.

It is a junction number, because it is equal to n+sod(n) for n = 32540540982 and 32540541000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35719129 + ... + 35720039.

It is an arithmetic number, because the mean of its divisors is an integer number (483492240).

Almost surely, 2^32540541024 is an apocalyptic number.

32540541024 is a gapful number since it is divisible by the number (34) 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 32540541024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46415255040).

32540541024 is an abundant number, since it is smaller than the sum of its proper divisors (60289969056).

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

32540541024 is a wasteful number, since it uses less digits than its factorization.

32540541024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 32540541024 in words is "thirty-two billion, five hundred forty million, five hundred forty-one thousand, twenty-four".