41224121400 has 576 divisors, whose sum is σ = 170734608000. Its totient is φ = 8113996800.

The previous prime is 41224121357. The next prime is 41224121401. The reversal of 41224121400 is 412142214.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41224121401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6141246 + ... + 6147954.

It is an arithmetic number, because the mean of its divisors is an integer number (296414250).

Almost surely, 2^41224121400 is an apocalyptic number.

41224121400 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 41224121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85367304000).

41224121400 is an abundant number, since it is smaller than the sum of its proper divisors (129510486600).

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

41224121400 is a wasteful number, since it uses less digits than its factorization.

41224121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6772 (or 6756 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 41224121400 its reverse (412142214), we get a palindrome (41636263614).

The spelling of 41224121400 in words is "forty-one billion, two hundred twenty-four million, one hundred twenty-one thousand, four hundred".