2006000000040 has 64 divisors (see below), whose sum is σ = 6018872520960. Its totient is φ = 534855776000.

The previous prime is 2006000000023. The next prime is 2006000000089. The reversal of 2006000000040 is 400000006002.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 = 2005999999962 and 2006000000025.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378336 + ... + 2038415.

It is an arithmetic number, because the mean of its divisors is an integer number (94044883140).

Almost surely, 2^{2006000000040} is an apocalyptic number.

2006000000040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006000000040 is an abundant number, since it is smaller than the sum of its proper divisors (4012872520920).

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

2006000000040 is a wasteful number, since it uses less digits than its factorization.

2006000000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423682 (or 2423678 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 2006000000040 its reverse (400000006002), we get a palindrome (2406000006042).

The spelling of 2006000000040 in words is "two trillion, six billion, forty", and thus it is an aban number, an eban number, and an uban number.