41414123413224 has 128 divisors (see below), whose sum is σ = 116434047744000. Its totient is φ = 13637355037632.

The previous prime is 41414123413211. The next prime is 41414123413309. The reversal of 41414123413224 is 42231432141414.

41414123413224 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 4 + 12 + 3 + 413 + 224 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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, 258423729 + ... + 258583935.

It is an arithmetic number, because the mean of its divisors is an integer number (909640998000).

Almost surely, 2^{41414123413224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41414123413224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58217023872000).

41414123413224 is an abundant number, since it is smaller than the sum of its proper divisors (75019924330776).

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

41414123413224 is a wasteful number, since it uses less digits than its factorization.

41414123413224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174724 (or 174714 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 41414123413224 its reverse (42231432141414), we get a palindrome (83645555554638).

The spelling of 41414123413224 in words is "forty-one trillion, four hundred fourteen billion, one hundred twenty-three million, four hundred thirteen thousand, two hundred twenty-four".