224020220040 has 96 divisors (see below), whose sum is σ = 728125070400. Its totient is φ = 59733855360.

The previous prime is 224020220029. The next prime is 224020220069. The reversal of 224020220040 is 40022020422.

224020220040 is a `hidden beast` number, since 2 + 2 + 402 + 0 + 220 + 0 + 40 = 666.

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 = 224020219995 and 224020220022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7462581 + ... + 7492539.

It is an arithmetic number, because the mean of its divisors is an integer number (7584636150).

Almost surely, 2^224020220040 is an apocalyptic number.

224020220040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224020220040 is an abundant number, since it is smaller than the sum of its proper divisors (504104850360).

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

224020220040 is a wasteful number, since it uses less digits than its factorization.

224020220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50747 (or 50740 counting only the distinct ones).

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

Adding to 224020220040 its reverse (40022020422), we get a palindrome (264042240462).

The spelling of 224020220040 in words is "two hundred twenty-four billion, twenty million, two hundred twenty thousand, forty".