223420333033040 has 320 divisors, whose sum is σ = 625548124857600. Its totient is φ = 73118531174400.

The previous prime is 223420333033039. The next prime is 223420333033067. The reversal of 223420333033040 is 40330333024322.

It is a junction number, because it is equal to n+sod(n) for n = 223420333032988 and 223420333033006.

It is a congruent number.

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, 740463326 + ... + 740764994.

It is an arithmetic number, because the mean of its divisors is an integer number (1954837890180).

Almost surely, 2^{223420333033040} is an apocalyptic number.

223420333033040 is a gapful number since it is divisible by the number (20) 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 223420333033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312774062428800).

223420333033040 is an abundant number, since it is smaller than the sum of its proper divisors (402127791824560).

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

223420333033040 is a wasteful number, since it uses less digits than its factorization.

223420333033040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303326 (or 303320 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 32.

Adding to 223420333033040 its reverse (40330333024322), we get a palindrome (263750666057362).

The spelling of 223420333033040 in words is "two hundred twenty-three trillion, four hundred twenty billion, three hundred thirty-three million, thirty-three thousand, forty".