221032240424000 has 448 divisors, whose sum is σ = 556971427584000. Its totient is φ = 86880245760000.

The previous prime is 221032240423957. The next prime is 221032240424053. The reversal of 221032240424000 is 424042230122.

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, 74446694516 + ... + 74446697484.

Almost surely, 2^{221032240424000} is an apocalyptic number.

221032240424000 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 221032240424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278485713792000).

221032240424000 is an abundant number, since it is smaller than the sum of its proper divisors (335939187160000).

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

221032240424000 is a wasteful number, since it uses less digits than its factorization.

221032240424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3759 (or 3739 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 221032240424000 its reverse (424042230122), we get a palindrome (221456282654122).

The spelling of 221032240424000 in words is "two hundred twenty-one trillion, thirty-two billion, two hundred forty million, four hundred twenty-four thousand".