4211413224012 has 120 divisors (see below), whose sum is σ = 11136606576480. Its totient is φ = 1387602627840.

The previous prime is 4211413223971. The next prime is 4211413224013. The reversal of 4211413224012 is 2104223141124.

4211413224012 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 413 + 2 + 240 + 1 + 2 = 666.

It is a super-2 number, since 2×4211413224012² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4211413224013) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 101222398 + ... + 101263994.

It is an arithmetic number, because the mean of its divisors is an integer number (92805054804).

Almost surely, 2^{4211413224012} 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 4211413224012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5568303288240).

4211413224012 is an abundant number, since it is smaller than the sum of its proper divisors (6925193352468).

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

4211413224012 is a wasteful number, since it uses less digits than its factorization.

4211413224012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45213 (or 45202 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 4211413224012 its reverse (2104223141124), we get a palindrome (6315636365136).

The spelling of 4211413224012 in words is "four trillion, two hundred eleven billion, four hundred thirteen million, two hundred twenty-four thousand, twelve".