1010091000040 has 16 divisors (see below), whose sum is σ = 2272704750180. Its totient is φ = 404036400000.

The previous prime is 1010091000001. The next prime is 1010091000041. The reversal of 1010091000040 is 400001900101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 956214091044 + 53876908996 = 977862^2 + 232114^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1010090999978 and 1010091000023.

It is not an unprimeable number, because it can be changed into a prime (1010091000041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12626137461 + ... + 12626137540.

Almost surely, 2^{1010091000040} is an apocalyptic number.

1010091000040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010091000040 is an abundant number, since it is smaller than the sum of its proper divisors (1262613750140).

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

1010091000040 is a wasteful number, since it uses less digits than its factorization.

1010091000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25252275012 (or 25252275008 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1010091000040 its reverse (400001900101), we get a palindrome (1410092900141).

The spelling of 1010091000040 in words is "one trillion, ten billion, ninety-one million, forty", and thus it is an aban number and an uban number.