220240220040 has 96 divisors (see below), whose sum is σ = 717669763200. Its totient is φ = 58575726720.

The previous prime is 220240220033. The next prime is 220240220059. The reversal of 220240220040 is 40022042022.

220240220040 is a `hidden beast` number, since 2 + 20 + 2 + 402 + 200 + 40 = 666.

220240220040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220240219995 and 220240220022.

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 23 ways as a sum of consecutive naturals, for example, 670656 + ... + 943535.

It is an arithmetic number, because the mean of its divisors is an integer number (7475726700).

Almost surely, 2^220240220040 is an apocalyptic number.

220240220040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220240220040 is an abundant number, since it is smaller than the sum of its proper divisors (497429543160).

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

220240220040 is a wasteful number, since it uses less digits than its factorization.

220240220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614587 (or 1614580 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 220240220040 its reverse (40022042022), we get a palindrome (260262262062).

The spelling of 220240220040 in words is "two hundred twenty billion, two hundred forty million, two hundred twenty thousand, forty".