2005010000040 has 64 divisors (see below), whose sum is σ = 6015649368960. Its totient is φ = 534614278400.

The previous prime is 2005010000039. The next prime is 2005010000041. The reversal of 2005010000040 is 400000105002.

It is an interprime number because it is at equal distance from previous prime (2005010000039) and next prime (2005010000041).

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

It is a junction number, because it is equal to n+sod(n) for n = 2005009999980 and 2005010000025.

It is not an unprimeable number, because it can be changed into a prime (2005010000041) 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, 316690 + ... + 2027390.

It is an arithmetic number, because the mean of its divisors is an integer number (93994521390).

Almost surely, 2^{2005010000040} is an apocalyptic number.

2005010000040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005010000040 is an abundant number, since it is smaller than the sum of its proper divisors (4010639368920).

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

2005010000040 is a wasteful number, since it uses less digits than its factorization.

2005010000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720482 (or 1720478 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

Adding to 2005010000040 its reverse (400000105002), we get a palindrome (2405010105042).

The spelling of 2005010000040 in words is "two trillion, five billion, ten million, forty", and thus it is an aban number and an uban number.