2034113400040 has 16 divisors (see below), whose sum is σ = 4576755150180. Its totient is φ = 813645360000.

The previous prime is 2034113399993. The next prime is 2034113400041. The reversal of 2034113400040 is 400043114302.

It can be written as a sum of positive squares in 2 ways, for example, as 1853143135204 + 180970264836 = 1361302^2 + 425406^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2034113399984 and 2034113400020.

It is not an unprimeable number, because it can be changed into a prime (2034113400041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25426417461 + ... + 25426417540.

Almost surely, 2^{2034113400040} is an apocalyptic number.

2034113400040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034113400040 is an abundant number, since it is smaller than the sum of its proper divisors (2542641750140).

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

2034113400040 is a wasteful number, since it uses less digits than its factorization.

2034113400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50852835012 (or 50852835008 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2034113400040 its reverse (400043114302), we get a palindrome (2434156514342).

The spelling of 2034113400040 in words is "two trillion, thirty-four billion, one hundred thirteen million, four hundred thousand, forty".