4124401124040 has 192 divisors, whose sum is σ = 13445148787200. Its totient is φ = 1096493392896.

The previous prime is 4124401124033. The next prime is 4124401124099. The reversal of 4124401124040 is 404211044214.

It is a happy number.

4124401124040 is a `hidden beast` number, since 4 + 1 + 244 + 0 + 1 + 12 + 404 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4124401123995 and 4124401124013.

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, 189155779 + ... + 189177581.

It is an arithmetic number, because the mean of its divisors is an integer number (70026816600).

Almost surely, 2^{4124401124040} is an apocalyptic number.

4124401124040 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 4124401124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6722574393600).

4124401124040 is an abundant number, since it is smaller than the sum of its proper divisors (9320747663160).

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

4124401124040 is a wasteful number, since it uses less digits than its factorization.

4124401124040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23396 (or 23389 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 4124401124040 its reverse (404211044214), we get a palindrome (4528612168254).

The spelling of 4124401124040 in words is "four trillion, one hundred twenty-four billion, four hundred one million, one hundred twenty-four thousand, forty".