221312001440 has 48 divisors (see below), whose sum is σ = 525738344040. Its totient is φ = 88035701760.

The previous prime is 221312001439. The next prime is 221312001481. The reversal of 221312001440 is 44100213122.

It can be written as a sum of positive squares in 4 ways, for example, as 88463415184 + 132848586256 = 297428^2 + 364484^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 3792035 + ... + 3849954.

Almost surely, 2^221312001440 is an apocalyptic number.

221312001440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221312001440 is an abundant number, since it is smaller than the sum of its proper divisors (304426342600).

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

221312001440 is a wasteful number, since it uses less digits than its factorization.

221312001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7642185 (or 7642177 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 221312001440 its reverse (44100213122), we get a palindrome (265412214562).

The spelling of 221312001440 in words is "two hundred twenty-one billion, three hundred twelve million, one thousand, four hundred forty".