41224440400 has 180 divisors, whose sum is σ = 116998136640. Its totient is φ = 13837324800.

The previous prime is 41224440373. The next prime is 41224440401. The reversal of 41224440400 is 404442214.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41224440401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 715881 + ... + 771319.

It is an arithmetic number, because the mean of its divisors is an integer number (649989648).

Almost surely, 2^41224440400 is an apocalyptic number.

41224440400 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 41224440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58499068320).

41224440400 is an abundant number, since it is smaller than the sum of its proper divisors (75773696240).

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

41224440400 is a wasteful number, since it uses less digits than its factorization.

41224440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55494 (or 55470 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 41224440400 its reverse (404442214), we get a palindrome (41628882614).

The spelling of 41224440400 in words is "forty-one billion, two hundred twenty-four million, four hundred forty thousand, four hundred".