41242402200144 has 320 divisors, whose sum is σ = 124232008642560. Its totient is φ = 11704381194240.

The previous prime is 41242402200121. The next prime is 41242402200193. The reversal of 41242402200144 is 44100220424214.

41242402200144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29185987 + ... + 30566429.

It is an arithmetic number, because the mean of its divisors is an integer number (388225027008).

Almost surely, 2^{41242402200144} 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 41242402200144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62116004321280).

41242402200144 is an abundant number, since it is smaller than the sum of its proper divisors (82989606442416).

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

41242402200144 is a wasteful number, since it uses less digits than its factorization.

41242402200144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380578 (or 1380572 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 41242402200144 its reverse (44100220424214), we get a palindrome (85342622624358).

The spelling of 41242402200144 in words is "forty-one trillion, two hundred forty-two billion, four hundred two million, two hundred thousand, one hundred forty-four".