41224121120400 has 120 divisors (see below), whose sum is σ = 139822519116384. Its totient is φ = 10346446080000.

The previous prime is 41224121120359. The next prime is 41224121120447. The reversal of 41224121120400 is 402112142214.

It is a happy number.

41224121120400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1010374726 + ... + 1010415525.

Almost surely, 2^{41224121120400} is an apocalyptic number.

41224121120400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41224121120400 is an abundant number, since it is smaller than the sum of its proper divisors (98598397995984).

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

41224121120400 is a wasteful number, since it uses less digits than its factorization.

41224121120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020790289 (or 2020790278 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 41224121120400 its reverse (402112142214), we get a palindrome (41626233262614).

The spelling of 41224121120400 in words is "forty-one trillion, two hundred twenty-four billion, one hundred twenty-one million, one hundred twenty thousand, four hundred".