41022401200 has 120 divisors (see below), whose sum is σ = 107673822720. Its totient is φ = 14895340800.

The previous prime is 41022401177. The next prime is 41022401201. The reversal of 41022401200 is 210422014.

It is a super-2 number, since 2×41022401200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (41022401201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3157117 + ... + 3170083.

It is an arithmetic number, because the mean of its divisors is an integer number (897281856).

Almost surely, 2^41022401200 is an apocalyptic number.

41022401200 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 41022401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53836911360).

41022401200 is an abundant number, since it is smaller than the sum of its proper divisors (66651421520).

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

41022401200 is a wasteful number, since it uses less digits than its factorization.

41022401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13715 (or 13704 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 41022401200 its reverse (210422014), we get a palindrome (41232823214).

The spelling of 41022401200 in words is "forty-one billion, twenty-two million, four hundred one thousand, two hundred".