41314222242144 has 72 divisors (see below), whose sum is σ = 119987049742560. Its totient is φ = 13478398741248.

The previous prime is 41314222242061. The next prime is 41314222242199. The reversal of 41314222242144 is 44124222241314.

41314222242144 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 4 + 2 + 222 + 421 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 a junction number, because it is equal to n+sod(n) for n = 41314222242099 and 41314222242108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1526073279 + ... + 1526100350.

It is an arithmetic number, because the mean of its divisors is an integer number (1666486801980).

Almost surely, 2^{41314222242144} is an apocalyptic number.

It is an amenable number.

41314222242144 is an abundant number, since it is smaller than the sum of its proper divisors (78672827500416).

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

41314222242144 is a wasteful number, since it uses less digits than its factorization.

41314222242144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052173692 (or 3052173681 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

Adding to 41314222242144 its reverse (44124222241314), we get a palindrome (85438444483458).

The spelling of 41314222242144 in words is "forty-one trillion, three hundred fourteen billion, two hundred twenty-two million, two hundred forty-two thousand, one hundred forty-four".