2005110423400 has 384 divisors, whose sum is σ = 5632782336000. Its totient is φ = 649389312000.

The previous prime is 2005110423397. The next prime is 2005110423401. The reversal of 2005110423400 is 43240115002.

It is not an unprimeable number, because it can be changed into a prime (2005110423401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 305142115 + ... + 305148685.

It is an arithmetic number, because the mean of its divisors is an integer number (14668704000).

Almost surely, 2^{2005110423400} is an apocalyptic number.

2005110423400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005110423400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816391168000).

2005110423400 is an abundant number, since it is smaller than the sum of its proper divisors (3627671912600).

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

2005110423400 is a wasteful number, since it uses less digits than its factorization.

2005110423400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6793 (or 6784 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 2005110423400 its reverse (43240115002), we get a palindrome (2048350538402).

The spelling of 2005110423400 in words is "two trillion, five billion, one hundred ten million, four hundred twenty-three thousand, four hundred".