4241322413406 has 192 divisors, whose sum is σ = 10737096289920. Its totient is φ = 1199111316480.

The previous prime is 4241322413243. The next prime is 4241322413407. The reversal of 4241322413406 is 6043142231424.

4241322413406 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 3 + 2 + 241 + 3 + 406 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4241322413407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30678396 + ... + 30816336.

It is an arithmetic number, because the mean of its divisors is an integer number (55922376510).

Almost surely, 2^{4241322413406} is an apocalyptic number.

4241322413406 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4241322413406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5368548144960).

4241322413406 is an abundant number, since it is smaller than the sum of its proper divisors (6495773876514).

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

4241322413406 is a wasteful number, since it uses less digits than its factorization.

4241322413406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138211 (or 138208 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 4241322413406 in words is "four trillion, two hundred forty-one billion, three hundred twenty-two million, four hundred thirteen thousand, four hundred six".