2041434104400 has 90 divisors (see below), whose sum is σ = 7084343419790. Its totient is φ = 544382426880.

The previous prime is 2041434104393. The next prime is 2041434104401. The reversal of 2041434104400 is 44014341402.

2041434104400 is a `hidden beast` number, since 204 + 1 + 4 + 3 + 4 + 10 + 440 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 93768238656 + 1947665865744 = 306216^2 + 1395588^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041434104401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 283528915 + ... + 283536114.

Almost surely, 2^{2041434104400} is an apocalyptic number.

2041434104400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2041434104400 is an abundant number, since it is smaller than the sum of its proper divisors (5042909315390).

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

2041434104400 is a wasteful number, since it uses less digits than its factorization.

2041434104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567065053 (or 567065039 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2041434104400 its reverse (44014341402), we get a palindrome (2085448445802).

The spelling of 2041434104400 in words is "two trillion, forty-one billion, four hundred thirty-four million, one hundred four thousand, four hundred".