220400040040 has 16 divisors (see below), whose sum is σ = 495900090180. Its totient is φ = 88160016000.

The previous prime is 220400040023. The next prime is 220400040067. The reversal of 220400040040 is 40040004022.

220400040040 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 2 ways, for example, as 206877606244 + 13522433796 = 454838^2 + 116286^2 .

It is a junction number, because it is equal to n+sod(n) for n = 220400039996 and 220400040023.

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 3 ways as a sum of consecutive naturals, for example, 2755000461 + ... + 2755000540.

Almost surely, 2^220400040040 is an apocalyptic number.

220400040040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220400040040 is an abundant number, since it is smaller than the sum of its proper divisors (275500050140).

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

220400040040 is a wasteful number, since it uses less digits than its factorization.

220400040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5510001012 (or 5510001008 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 220400040040 its reverse (40040004022), we get a palindrome (260440044062).

The spelling of 220400040040 in words is "two hundred twenty billion, four hundred million, forty thousand, forty".