220234414043412 has 288 divisors, whose sum is σ = 598855420800000. Its totient is φ = 70687327463424.

The previous prime is 220234414043381. The next prime is 220234414043429. The reversal of 220234414043412 is 214340414432022.

220234414043412 is a `hidden beast` number, since 2 + 2 + 0 + 23 + 44 + 140 + 43 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26315495164 + ... + 26315503532.

It is an arithmetic number, because the mean of its divisors is an integer number (2079359100000).

Almost surely, 2^{220234414043412} 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 220234414043412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299427710400000).

220234414043412 is an abundant number, since it is smaller than the sum of its proper divisors (378621006756588).

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

220234414043412 is a wasteful number, since it uses less digits than its factorization.

220234414043412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10845 (or 10831 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 220234414043412 its reverse (214340414432022), we get a palindrome (434574828475434).

The spelling of 220234414043412 in words is "two hundred twenty trillion, two hundred thirty-four billion, four hundred fourteen million, forty-three thousand, four hundred twelve".