140221114000200 has 288 divisors, whose sum is σ = 488450155939200. Its totient is φ = 37384653116160.

The previous prime is 140221114000169. The next prime is 140221114000213. The reversal of 140221114000200 is 2000411122041.

140221114000200 is a `hidden beast` number, since 1 + 40 + 2 + 21 + 1 + 1 + 400 + 0 + 200 = 666.

It is a super-2 number, since 2×140221114000200² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 239451361 + ... + 240036239.

It is an arithmetic number, because the mean of its divisors is an integer number (1696007485900).

Almost surely, 2^{140221114000200} is an apocalyptic number.

140221114000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140221114000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244225077969600).

140221114000200 is an abundant number, since it is smaller than the sum of its proper divisors (348229041939000).

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

140221114000200 is a wasteful number, since it uses less digits than its factorization.

140221114000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589843 (or 589822 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 140221114000200 its reverse (2000411122041), we get a palindrome (142221525122241).

The spelling of 140221114000200 in words is "one hundred forty trillion, two hundred twenty-one billion, one hundred fourteen million, two hundred", and thus it is an aban number.