1000100000040 has 64 divisors (see below), whose sum is σ = 3008475336960. Its totient is φ = 265966636800.

The previous prime is 1000100000023. The next prime is 1000100000041. The reversal of 1000100000040 is 400000010001.

1000100000040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 1000099999974 and 1000100000028.

It is not an unprimeable number, because it can be changed into a prime (1000100000041) 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, 11310411 + ... + 11398490.

It is an arithmetic number, because the mean of its divisors is an integer number (47007427140).

Almost surely, 2^{1000100000040} is an apocalyptic number.

1000100000040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000100000040 is an abundant number, since it is smaller than the sum of its proper divisors (2008375336920).

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

1000100000040 is a wasteful number, since it uses less digits than its factorization.

1000100000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22709282 (or 22709278 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 1000100000040 its reverse (400000010001), we get a palindrome (1400100010041).

The spelling of 1000100000040 in words is "one trillion, one hundred million, forty", and thus it is an aban number.