221412037424424 has 256 divisors, whose sum is σ = 708267163484160. Its totient is φ = 56016494688000.

The previous prime is 221412037424251. The next prime is 221412037424471. The reversal of 221412037424424 is 424424730214122.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 724669 + ... + 21055859.

It is an arithmetic number, because the mean of its divisors is an integer number (2766668607360).

Almost surely, 2^{221412037424424} is an apocalyptic number.

221412037424424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221412037424424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354133581742080).

221412037424424 is an abundant number, since it is smaller than the sum of its proper divisors (486855126059736).

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

221412037424424 is a wasteful number, since it uses less digits than its factorization.

221412037424424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20331372 (or 20331368 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 42.

Adding to 221412037424424 its reverse (424424730214122), we get a palindrome (645836767638546).

The spelling of 221412037424424 in words is "two hundred twenty-one trillion, four hundred twelve billion, thirty-seven million, four hundred twenty-four thousand, four hundred twenty-four".