41214442204000 has 192 divisors, whose sum is σ = 109074981480192. Its totient is φ = 15214630656000.

The previous prime is 41214442203973. The next prime is 41214442204057. The reversal of 41214442204000 is 40224441214.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 41214442204000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271936242 + ... + 272087758.

It is an arithmetic number, because the mean of its divisors is an integer number (568098861876).

Almost surely, 2^{41214442204000} is an apocalyptic number.

41214442204000 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 41214442204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54537490740096).

41214442204000 is an abundant number, since it is smaller than the sum of its proper divisors (67860539276192).

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

41214442204000 is a wasteful number, since it uses less digits than its factorization.

41214442204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156786 (or 156768 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 41214442204000 its reverse (40224441214), we get a palindrome (41254666645214).

The spelling of 41214442204000 in words is "forty-one trillion, two hundred fourteen billion, four hundred forty-two million, two hundred four thousand".