40332102105300 has 144 divisors (see below), whose sum is σ = 117142869043200. Its totient is φ = 10713955478400.

The previous prime is 40332102105299. The next prime is 40332102105331. The reversal of 40332102105300 is 350120123304.

40332102105300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 81806931 + ... + 82298469.

Almost surely, 2^{40332102105300} 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 40332102105300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58571434521600).

40332102105300 is an abundant number, since it is smaller than the sum of its proper divisors (76810766937900).

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

40332102105300 is a wasteful number, since it uses less digits than its factorization.

40332102105300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492606 (or 492599 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 40332102105300 its reverse (350120123304), we get a palindrome (40682222228604).

The spelling of 40332102105300 in words is "forty trillion, three hundred thirty-two billion, one hundred two million, one hundred five thousand, three hundred".