204023320011240 has 256 divisors, whose sum is σ = 614691866880000. Its totient is φ = 54173826432000.

The previous prime is 204023320011191. The next prime is 204023320011241. The reversal of 204023320011240 is 42110023320402.

It is a happy number.

204023320011240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×204023320011240³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 204023320011240.

It is not an unprimeable number, because it can be changed into a prime (204023320011241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61806517590 + ... + 61806520890.

It is an arithmetic number, because the mean of its divisors is an integer number (2401140105000).

Almost surely, 2^{204023320011240} is an apocalyptic number.

204023320011240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204023320011240 is an abundant number, since it is smaller than the sum of its proper divisors (410668546868760).

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

204023320011240 is a wasteful number, since it uses less digits than its factorization.

204023320011240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5848 (or 5844 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 204023320011240 its reverse (42110023320402), we get a palindrome (246133343331642).

The spelling of 204023320011240 in words is "two hundred four trillion, twenty-three billion, three hundred twenty million, eleven thousand, two hundred forty".