2041040938900 has 36 divisors (see below), whose sum is σ = 4689591714108. Its totient is φ = 768391882240.

The previous prime is 2041040938879. The next prime is 2041040938907. The reversal of 2041040938900 is 98390401402.

It can be written as a sum of positive squares in 6 ways, for example, as 46268870404 + 1994772068496 = 215102^2 + 1412364^2 .

It is a super-2 number, since 2×2041040938900² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041040938907) 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, 600304459 + ... + 600307858.

It is an arithmetic number, because the mean of its divisors is an integer number (130266436503).

Almost surely, 2^{2041040938900} is an apocalyptic number.

2041040938900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2041040938900 is an abundant number, since it is smaller than the sum of its proper divisors (2648550775208).

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

2041040938900 is a wasteful number, since it uses less digits than its factorization.

2041040938900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200612348 (or 1200612341 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 2041040938900 in words is "two trillion, forty-one billion, forty million, nine hundred thirty-eight thousand, nine hundred".