4110121442040 has 256 divisors, whose sum is σ = 13397435251200. Its totient is φ = 1005284966400.

The previous prime is 4110121442039. The next prime is 4110121442041. The reversal of 4110121442040 is 402441210114.

It is an interprime number because it is at equal distance from previous prime (4110121442039) and next prime (4110121442041).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4110121442040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4110121442041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12078064 + ... + 12413696.

It is an arithmetic number, because the mean of its divisors is an integer number (52333731450).

Almost surely, 2^{4110121442040} is an apocalyptic number.

4110121442040 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 4110121442040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6698717625600).

4110121442040 is an abundant number, since it is smaller than the sum of its proper divisors (9287313809160).

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

4110121442040 is a wasteful number, since it uses less digits than its factorization.

4110121442040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335838 (or 335834 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 4110121442040 its reverse (402441210114), we get a palindrome (4512562652154).

The spelling of 4110121442040 in words is "four trillion, one hundred ten billion, one hundred twenty-one million, four hundred forty-two thousand, forty".