221440442314320 has 120 divisors (see below), whose sum is σ = 760965489082656. Its totient is φ = 57677510548224.

The previous prime is 221440442314303. The next prime is 221440442314349. The reversal of 221440442314320 is 23413244044122.

221440442314320 is a `hidden beast` number, since 2 + 2 + 14 + 4 + 0 + 4 + 4 + 2 + 314 + 320 = 666.

221440442314320 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3576203574 + ... + 3576265493.

Almost surely, 2^{221440442314320} is an apocalyptic number.

221440442314320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221440442314320 is an abundant number, since it is smaller than the sum of its proper divisors (539525046768336).

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

221440442314320 is a wasteful number, since it uses less digits than its factorization.

221440442314320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7152469129 (or 7152469120 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 221440442314320 its reverse (23413244044122), we get a palindrome (244853686358442).

The spelling of 221440442314320 in words is "two hundred twenty-one trillion, four hundred forty billion, four hundred forty-two million, three hundred fourteen thousand, three hundred twenty".