41144104110400 has 168 divisors, whose sum is σ = 104092221421440. Its totient is φ = 15996980736000.

The previous prime is 41144104110383. The next prime is 41144104110409. The reversal of 41144104110400 is 401140144114.

41144104110400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41144104110409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16620411 + ... + 18934789.

It is an arithmetic number, because the mean of its divisors is an integer number (619596556080).

Almost surely, 2^{41144104110400} is an apocalyptic number.

41144104110400 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 41144104110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52046110710720).

41144104110400 is an abundant number, since it is smaller than the sum of its proper divisors (62948117311040).

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

41144104110400 is a wasteful number, since it uses less digits than its factorization.

41144104110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314713 (or 2314698 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 41144104110400 its reverse (401140144114), we get a palindrome (41545244254514).

The spelling of 41144104110400 in words is "forty-one trillion, one hundred forty-four billion, one hundred four million, one hundred ten thousand, four hundred".