140022321028200 has 288 divisors, whose sum is σ = 511060070921400. Its totient is φ = 34150820935680.

The previous prime is 140022321028123. The next prime is 140022321028201. The reversal of 140022321028200 is 2820123220041.

140022321028200 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 223 + 210 + 28 + 200 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1099843002756 + 138922478025444 = 1048734^2 + 11786538^2 .

It is a super-2 number, since 2×140022321028200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (140022321028201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24898299 + ... + 29999498.

Almost surely, 2^{140022321028200} is an apocalyptic number.

140022321028200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140022321028200 is an abundant number, since it is smaller than the sum of its proper divisors (371037749893200).

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

140022321028200 is a wasteful number, since it uses less digits than its factorization.

140022321028200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54897941 (or 54897929 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 140022321028200 its reverse (2820123220041), we get a palindrome (142842444248241).

The spelling of 140022321028200 in words is "one hundred forty trillion, twenty-two billion, three hundred twenty-one million, twenty-eight thousand, two hundred".