41224443904000 has 480 divisors, whose sum is σ = 117945195024384. Its totient is φ = 14091662131200.

The previous prime is 41224443903961. The next prime is 41224443904019. The reversal of 41224443904000 is 40934442214.

It is a super-2 number, since 2×41224443904000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4974587857 + ... + 4974596143.

Almost surely, 2^{41224443904000} is an apocalyptic number.

41224443904000 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 41224443904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58972597512192).

41224443904000 is an abundant number, since it is smaller than the sum of its proper divisors (76720751120384).

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

41224443904000 is an frugal number, since it uses more digits than its factorization.

41224443904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8684 (or 8648 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 41224443904000 in words is "forty-one trillion, two hundred twenty-four billion, four hundred forty-three million, nine hundred four thousand".