4112002044400 has 120 divisors (see below), whose sum is σ = 10682765991360. Its totient is φ = 1515110522880.

The previous prime is 4112002044379. The next prime is 4112002044401. The reversal of 4112002044400 is 44402002114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4112002044401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6113445 + ... + 6752644.

It is an arithmetic number, because the mean of its divisors is an integer number (89023049928).

Almost surely, 2^{4112002044400} is an apocalyptic number.

4112002044400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4112002044400 is an abundant number, since it is smaller than the sum of its proper divisors (6570763946960).

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

4112002044400 is a wasteful number, since it uses less digits than its factorization.

4112002044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12866171 (or 12866160 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 4112002044400 its reverse (44402002114), we get a palindrome (4156404046514).

The spelling of 4112002044400 in words is "four trillion, one hundred twelve billion, two million, forty-four thousand, four hundred".