223243590205440 has 1536 divisors, whose sum is σ = 925754749920000. Its totient is φ = 50552088035328.

The previous prime is 223243590205439. The next prime is 223243590205451. The reversal of 223243590205440 is 44502095342322.

223243590205440 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 4 + 3 + 590 + 2 + 0 + 54 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-3 number, since 3×223243590205440³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30377406886 + ... + 30377414234.

Almost surely, 2^{223243590205440} is an apocalyptic number.

223243590205440 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 223243590205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462877374960000).

223243590205440 is an abundant number, since it is smaller than the sum of its proper divisors (702511159714560).

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

223243590205440 is an frugal number, since it uses more digits than its factorization.

223243590205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7515 (or 7475 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 223243590205440 in words is "two hundred twenty-three trillion, two hundred forty-three billion, five hundred ninety million, two hundred five thousand, four hundred forty".