41224401112300 has 576 divisors, whose sum is σ = 110974412738560. Its totient is φ = 12980072448000.

The previous prime is 41224401112277. The next prime is 41224401112327. The reversal of 41224401112300 is 321110442214.

It is a super-2 number, since 2×41224401112300² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21326642134 + ... + 21326644066.

Almost surely, 2^{41224401112300} 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 41224401112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55487206369280).

41224401112300 is an abundant number, since it is smaller than the sum of its proper divisors (69750011626260).

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

41224401112300 is a wasteful number, since it uses less digits than its factorization.

41224401112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 41224401112300 its reverse (321110442214), we get a palindrome (41545511554514).

The spelling of 41224401112300 in words is "forty-one trillion, two hundred twenty-four billion, four hundred one million, one hundred twelve thousand, three hundred".