221441414320431 has 24 divisors (see below), whose sum is σ = 322118687042880. Its totient is φ = 146586350154816.

The previous prime is 221441414320349. The next prime is 221441414320459. The reversal of 221441414320431 is 134023414144122.

221441414320431 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 4 + 1 + 414 + 3 + 204 + 31 = 666.

It is not a de Polignac number, because 221441414320431 - 2⁷ = 221441414320303 is a prime.

It is a super-3 number, since 3×221441414320431³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221441414320631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51875751 + ... + 55981928.

It is an arithmetic number, because the mean of its divisors is an integer number (13421611960120).

Almost surely, 2^{221441414320431} is an apocalyptic number.

221441414320431 is a deficient number, since it is larger than the sum of its proper divisors (100677272722449).

221441414320431 is a wasteful number, since it uses less digits than its factorization.

221441414320431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107859295 (or 107859292 counting only the distinct ones).

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

Adding to 221441414320431 its reverse (134023414144122), we get a palindrome (355464828464553).

The spelling of 221441414320431 in words is "two hundred twenty-one trillion, four hundred forty-one billion, four hundred fourteen million, three hundred twenty thousand, four hundred thirty-one".