4105422504000 has 336 divisors, whose sum is σ = 15159523631616. Its totient is φ = 1059463296000.

The previous prime is 4105422503977. The next prime is 4105422504083. The reversal of 4105422504000 is 4052245014.

4105422504000 is a `hidden beast` number, since 4 + 1 + 0 + 5 + 4 + 2 + 250 + 400 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1312327 + ... + 3151673.

It is an arithmetic number, because the mean of its divisors is an integer number (45117629856).

Almost surely, 2^{4105422504000} is an apocalyptic number.

4105422504000 is a gapful number since it is divisible by the number (40) 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 4105422504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7579761815808).

4105422504000 is an abundant number, since it is smaller than the sum of its proper divisors (11054101127616).

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

4105422504000 is a wasteful number, since it uses less digits than its factorization.

4105422504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839411 (or 1839388 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 4105422504000 its reverse (4052245014), we get a palindrome (4109474749014).

The spelling of 4105422504000 in words is "four trillion, one hundred five billion, four hundred twenty-two million, five hundred four thousand".