221010403440 has 80 divisors (see below), whose sum is σ = 692830432800. Its totient is φ = 58273898496.

The previous prime is 221010403433. The next prime is 221010403457. The reversal of 221010403440 is 44304010122.

221010403440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5152105 + ... + 5194824.

It is an arithmetic number, because the mean of its divisors is an integer number (8660380410).

Almost surely, 2^221010403440 is an apocalyptic number.

221010403440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221010403440 is an abundant number, since it is smaller than the sum of its proper divisors (471820029360).

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

221010403440 is a wasteful number, since it uses less digits than its factorization.

221010403440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10347034 (or 10347028 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 221010403440 its reverse (44304010122), we get a palindrome (265314413562).

The spelling of 221010403440 in words is "two hundred twenty-one billion, ten million, four hundred three thousand, four hundred forty".