40222420200 has 72 divisors (see below), whose sum is σ = 135080300550. Its totient is φ = 10725978240.

The previous prime is 40222420187. The next prime is 40222420213. The reversal of 40222420200 is 202422204.

40222420200 is a `hidden beast` number, since 4 + 0 + 222 + 420 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40222420187) and next prime (40222420213).

It can be written as a sum of positive squares in 3 ways, for example, as 39044969604 + 1177450596 = 197598^2 + 34314^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

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 17 ways as a sum of consecutive naturals, for example, 11171095 + ... + 11174694.

Almost surely, 2^40222420200 is an apocalyptic number.

40222420200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40222420200 is an abundant number, since it is smaller than the sum of its proper divisors (94857880350).

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

40222420200 is a wasteful number, since it uses less digits than its factorization.

40222420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22345811 (or 22345799 counting only the distinct ones).

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

Adding to 40222420200 its reverse (202422204), we get a palindrome (40424842404).

The spelling of 40222420200 in words is "forty billion, two hundred twenty-two million, four hundred twenty thousand, two hundred".