40220224000200 has 144 divisors (see below), whose sum is σ = 135077859820800. Its totient is φ = 10725000739200.

The previous prime is 40220224000127. The next prime is 40220224000223. The reversal of 40220224000200 is 200042202204.

40220224000200 is a `hidden beast` number, since 4 + 0 + 220 + 2 + 240 + 0 + 0 + 200 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50579685 + ... + 51368715.

It is an arithmetic number, because the mean of its divisors is an integer number (938040693200).

Almost surely, 2^{40220224000200} is an apocalyptic number.

40220224000200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40220224000200 is an abundant number, since it is smaller than the sum of its proper divisors (94857635820600).

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

40220224000200 is a wasteful number, since it uses less digits than its factorization.

40220224000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817372 (or 817360 counting only the distinct ones).

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

Adding to 40220224000200 its reverse (200042202204), we get a palindrome (40420266202404).

The spelling of 40220224000200 in words is "forty trillion, two hundred twenty billion, two hundred twenty-four million, two hundred", and thus it is an aban number.