221026464000 has 432 divisors, whose sum is σ = 803146990464. Its totient is φ = 58360320000.

The previous prime is 221026463993. The next prime is 221026464011. The reversal of 221026464000 is 464620122.

221026464000 is a `hidden beast` number, since 2 + 2 + 10 + 2 + 6 + 4 + 640 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29660275 + ... + 29667725.

It is an arithmetic number, because the mean of its divisors is an integer number (1859136552).

Almost surely, 2^221026464000 is an apocalyptic number.

221026464000 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 221026464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401573495232).

221026464000 is an abundant number, since it is smaller than the sum of its proper divisors (582120526464).

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

221026464000 is a wasteful number, since it uses less digits than its factorization.

221026464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7591 (or 7564 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 221026464000 in words is "two hundred twenty-one billion, twenty-six million, four hundred sixty-four thousand".