4100002442052 has 192 divisors, whose sum is σ = 10898733662208. Its totient is φ = 1188398016000.

The previous prime is 4100002442051. The next prime is 4100002442069. The reversal of 4100002442052 is 2502442000014.

It is a happy number.

4100002442052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4100002442051) 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, 122690098 + ... + 122723510.

It is an arithmetic number, because the mean of its divisors is an integer number (56764237824).

Almost surely, 2^{4100002442052} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4100002442052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5449366831104).

4100002442052 is an abundant number, since it is smaller than the sum of its proper divisors (6798731220156).

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

4100002442052 is a wasteful number, since it uses less digits than its factorization.

4100002442052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33810 (or 33808 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 4100002442052 its reverse (2502442000014), we get a palindrome (6602444442066).

The spelling of 4100002442052 in words is "four trillion, one hundred billion, two million, four hundred forty-two thousand, fifty-two".