32136540337040 has 80 divisors (see below), whose sum is σ = 76135835142000. Its totient is φ = 12610648866816.

The previous prime is 32136540336973. The next prime is 32136540337043. The reversal of 32136540337040 is 4073304563123.

It can be written as a sum of positive squares in 8 ways, for example, as 4379996008336 + 27756544328704 = 2092844^2 + 5268448^2 .

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

It is not an unprimeable number, because it can be changed into a prime (32136540337043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37434536 + ... + 38283384.

It is an arithmetic number, because the mean of its divisors is an integer number (951697939275).

Almost surely, 2^{32136540337040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32136540337040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38067917571000).

32136540337040 is an abundant number, since it is smaller than the sum of its proper divisors (43999294804960).

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

32136540337040 is a wasteful number, since it uses less digits than its factorization.

32136540337040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857844 (or 857838 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 41.

The spelling of 32136540337040 in words is "thirty-two trillion, one hundred thirty-six billion, five hundred forty million, three hundred thirty-seven thousand, forty".