41420041200 has 240 divisors, whose sum is σ = 147907740640. Its totient is φ = 11009157120.

The previous prime is 41420041189. The next prime is 41420041217. The reversal of 41420041200 is 214002414.

41420041200 is a `hidden beast` number, since 4 + 1 + 420 + 0 + 41 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3374274 + ... + 3386526.

Almost surely, 2^41420041200 is an apocalyptic number.

41420041200 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 41420041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73953870320).

41420041200 is an abundant number, since it is smaller than the sum of its proper divisors (106487699440).

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

41420041200 is a wasteful number, since it uses less digits than its factorization.

41420041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12593 (or 12576 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 41420041200 its reverse (214002414), we get a palindrome (41634043614).

The spelling of 41420041200 in words is "forty-one billion, four hundred twenty million, forty-one thousand, two hundred".