221021440040 has 32 divisors (see below), whose sum is σ = 497468985480. Its totient is φ = 88378221312.

The previous prime is 221021440039. The next prime is 221021440091. The reversal of 221021440040 is 40044120122.

221021440040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 186290644996 + 34730795044 = 431614^2 + 186362^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 221021439994 and 221021440021.

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 7 ways as a sum of consecutive naturals, for example, 830447 + ... + 1063806.

Almost surely, 2^221021440040 is an apocalyptic number.

221021440040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221021440040 is an abundant number, since it is smaller than the sum of its proper divisors (276447545440).

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

221021440040 is a wasteful number, since it uses less digits than its factorization.

221021440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897181 (or 1897177 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 221021440040 its reverse (40044120122), we get a palindrome (261065560162).

The spelling of 221021440040 in words is "two hundred twenty-one billion, twenty-one million, four hundred forty thousand, forty".