4242411011124 has 288 divisors, whose sum is σ = 12679469712000. Its totient is φ = 1179103288320.

The previous prime is 4242411011123. The next prime is 4242411011129. The reversal of 4242411011124 is 4211101142424.

4242411011124 is a `hidden beast` number, since 4 + 2 + 424 + 110 + 1 + 1 + 124 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242411011123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 526415007 + ... + 526423065.

It is an arithmetic number, because the mean of its divisors is an integer number (44025936500).

Almost surely, 2^{4242411011124} is an apocalyptic number.

4242411011124 is a gapful number since it is divisible by the number (44) 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 4242411011124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6339734856000).

4242411011124 is an abundant number, since it is smaller than the sum of its proper divisors (8437058700876).

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

4242411011124 is a wasteful number, since it uses less digits than its factorization.

4242411011124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8735 (or 8730 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 4242411011124 its reverse (4211101142424), we get a palindrome (8453512153548).

The spelling of 4242411011124 in words is "four trillion, two hundred forty-two billion, four hundred eleven million, eleven thousand, one hundred twenty-four".