41441233200 has 240 divisors, whose sum is σ = 141856054560. Its totient is φ = 10304962560.

The previous prime is 41441233123. The next prime is 41441233231. The reversal of 41441233200 is 233214414.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2214282 + ... + 2232918.

It is an arithmetic number, because the mean of its divisors is an integer number (591066894).

Almost surely, 2^41441233200 is an apocalyptic number.

41441233200 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 41441233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70928027280).

41441233200 is an abundant number, since it is smaller than the sum of its proper divisors (100414821360).

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

41441233200 is a wasteful number, since it uses less digits than its factorization.

41441233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18784 (or 18773 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 41441233200 its reverse (233214414), we get a palindrome (41674447614).

The spelling of 41441233200 in words is "forty-one billion, four hundred forty-one million, two hundred thirty-three thousand, two hundred".