221501321440000 has 720 divisors, whose sum is σ = 634707174689280. Its totient is φ = 75549634560000.

The previous prime is 221501321439949. The next prime is 221501321440019. The reversal of 221501321440000 is 44123105122.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 320551839655 + ... + 320551840345.

It is an arithmetic number, because the mean of its divisors is an integer number (881537742624).

Almost surely, 2^{221501321440000} is an apocalyptic number.

221501321440000 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 221501321440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317353587344640).

221501321440000 is an abundant number, since it is smaller than the sum of its proper divisors (413205853249280).

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

221501321440000 is an frugal number, since it uses more digits than its factorization.

221501321440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 221501321440000 its reverse (44123105122), we get a palindrome (221545444545122).

The spelling of 221501321440000 in words is "two hundred twenty-one trillion, five hundred one billion, three hundred twenty-one million, four hundred forty thousand".