41344114143200 has 144 divisors (see below), whose sum is σ = 110161260728064. Its totient is φ = 15026799859200.

The previous prime is 41344114143193. The next prime is 41344114143229. The reversal of 41344114143200 is 234141144314.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16678697 + ... + 18996503.

It is an arithmetic number, because the mean of its divisors is an integer number (765008755056).

Almost surely, 2^{41344114143200} is an apocalyptic number.

41344114143200 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 41344114143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55080630364032).

41344114143200 is an abundant number, since it is smaller than the sum of its proper divisors (68817146584864).

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

41344114143200 is a wasteful number, since it uses less digits than its factorization.

41344114143200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319865 (or 2319852 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 41344114143200 its reverse (234141144314), we get a palindrome (41578255287514).

The spelling of 41344114143200 in words is "forty-one trillion, three hundred forty-four billion, one hundred fourteen million, one hundred forty-three thousand, two hundred".