221411403103410 has 192 divisors, whose sum is σ = 624885655080960. Its totient is φ = 54067606064640.

The previous prime is 221411403103403. The next prime is 221411403103411. The reversal of 221411403103410 is 14301304114122.

It is a happy number.

221411403103410 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 1 + 1 + 4 + 0 + 310 + 341 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (221411403103411) 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, 1992684936 + ... + 1992796044.

It is an arithmetic number, because the mean of its divisors is an integer number (3254612786880).

Almost surely, 2^{221411403103410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221411403103410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312442827540480).

221411403103410 is an abundant number, since it is smaller than the sum of its proper divisors (403474251977550).

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

221411403103410 is a wasteful number, since it uses less digits than its factorization.

221411403103410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124673 (or 124670 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 221411403103410 its reverse (14301304114122), we get a palindrome (235712707217532).

The spelling of 221411403103410 in words is "two hundred twenty-one trillion, four hundred eleven billion, four hundred three million, one hundred three thousand, four hundred ten".