204021024140 has 192 divisors, whose sum is σ = 461709642240. Its totient is φ = 75613440000.

The previous prime is 204021024071. The next prime is 204021024149. The reversal of 204021024140 is 41420120402.

It is a super-2 number, since 2×204021024140² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (204021024149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 210113855 + ... + 210114825.

It is an arithmetic number, because the mean of its divisors is an integer number (2404737720).

Almost surely, 2^204021024140 is an apocalyptic number.

204021024140 is a gapful number since it is divisible by the number (20) 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 204021024140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230854821120).

204021024140 is an abundant number, since it is smaller than the sum of its proper divisors (257688618100).

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

204021024140 is a wasteful number, since it uses less digits than its factorization.

204021024140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 204021024140 its reverse (41420120402), we get a palindrome (245441144542).

The spelling of 204021024140 in words is "two hundred four billion, twenty-one million, twenty-four thousand, one hundred forty".