4111400124800 has 192 divisors, whose sum is σ = 10467740289600. Its totient is φ = 1594796359680.

The previous prime is 4111400124751. The next prime is 4111400124823. The reversal of 4111400124800 is 84210041114.

It is a super-2 number, since 2×4111400124800² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4111400124800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16268204 + ... + 16518996.

It is an arithmetic number, because the mean of its divisors is an integer number (54519480675).

Almost surely, 2^{4111400124800} is an apocalyptic number.

4111400124800 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 4111400124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5233870144800).

4111400124800 is an abundant number, since it is smaller than the sum of its proper divisors (6356340164800).

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

4111400124800 is a wasteful number, since it uses less digits than its factorization.

4111400124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250973 (or 250956 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

Adding to 4111400124800 its reverse (84210041114), we get a palindrome (4195610165914).

The spelling of 4111400124800 in words is "four trillion, one hundred eleven billion, four hundred million, one hundred twenty-four thousand, eight hundred".