41433224000 has 336 divisors, whose sum is σ = 125666723520. Its totient is φ = 13455590400.

The previous prime is 41433223963. The next prime is 41433224009. The reversal of 41433224000 is 42233414.

It is a super-4 number, since 4×41433224000⁴ (a number of 44 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41433224009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7445219 + ... + 7450781.

Almost surely, 2^41433224000 is an apocalyptic number.

41433224000 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 41433224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62833361760).

41433224000 is an abundant number, since it is smaller than the sum of its proper divisors (84233499520).

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

41433224000 is a wasteful number, since it uses less digits than its factorization.

41433224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5623 (or 5596 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 41433224000 its reverse (42233414), we get a palindrome (41475457414).

The spelling of 41433224000 in words is "forty-one billion, four hundred thirty-three million, two hundred twenty-four thousand".