41145341200 has 120 divisors (see below), whose sum is σ = 101672385408. Its totient is φ = 15992471040.

The previous prime is 41145341197. The next prime is 41145341207. The reversal of 41145341200 is 214354114.

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

It is not an unprimeable number, because it can be changed into a prime (41145341207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3382329 + ... + 3394471.

Almost surely, 2^41145341200 is an apocalyptic number.

41145341200 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 41145341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50836192704).

41145341200 is an abundant number, since it is smaller than the sum of its proper divisors (60527044208).

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

41145341200 is a wasteful number, since it uses less digits than its factorization.

41145341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12401 (or 12390 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 41145341200 its reverse (214354114), we get a palindrome (41359695314).

The spelling of 41145341200 in words is "forty-one billion, one hundred forty-five million, three hundred forty-one thousand, two hundred".