41214120144084 has 36 divisors (see below), whose sum is σ = 104475264930036. Its totient is φ = 13699122083328.

The previous prime is 41214120144083. The next prime is 41214120144139. The reversal of 41214120144084 is 48044102141214.

41214120144084 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 4 + 1 + 201 + 440 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5426206854084 + 35787913290000 = 2329422^2 + 5982300^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41214120144083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1621568979 + ... + 1621594394.

It is an arithmetic number, because the mean of its divisors is an integer number (2902090692501).

Almost surely, 2^{41214120144084} is an apocalyptic number.

It is an amenable number.

41214120144084 is an abundant number, since it is smaller than the sum of its proper divisors (63261144785952).

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

41214120144084 is a wasteful number, since it uses less digits than its factorization.

41214120144084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3243163736 (or 3243163731 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

Adding to 41214120144084 its reverse (48044102141214), we get a palindrome (89258222285298).

The spelling of 41214120144084 in words is "forty-one trillion, two hundred fourteen billion, one hundred twenty million, one hundred forty-four thousand, eighty-four".