40505506100 has 36 divisors (see below), whose sum is σ = 87906772044. Its totient is φ = 16200391680.

The previous prime is 40505506087. The next prime is 40505506109. The reversal of 40505506100 is 160550504.

40505506100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 15187604644 + 25317901456 = 123238^2 + 159116^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40505506100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40505506109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1211204 + ... + 1244196.

It is an arithmetic number, because the mean of its divisors is an integer number (2441854779).

Almost surely, 2^40505506100 is an apocalyptic number.

It is an amenable number.

40505506100 is an abundant number, since it is smaller than the sum of its proper divisors (47401265944).

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

40505506100 is a wasteful number, since it uses less digits than its factorization.

40505506100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45284 (or 45277 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The spelling of 40505506100 in words is "forty billion, five hundred five million, five hundred six thousand, one hundred".