220644006440 has 64 divisors (see below), whose sum is σ = 583240815360. Its totient is φ = 74062321920.

The previous prime is 220644006439. The next prime is 220644006461. The reversal of 220644006440 is 44600446022.

220644006440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×220644006440² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220644006397 and 220644006406.

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, 19281344 + ... + 19292783.

It is an arithmetic number, because the mean of its divisors is an integer number (9113137740).

Almost surely, 2^220644006440 is an apocalyptic number.

220644006440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220644006440 is an abundant number, since it is smaller than the sum of its proper divisors (362596808920).

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

220644006440 is a wasteful number, since it uses less digits than its factorization.

220644006440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38574162 (or 38574158 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The spelling of 220644006440 in words is "two hundred twenty billion, six hundred forty-four million, six thousand, four hundred forty".