204200440142013 has 384 divisors, whose sum is σ = 393257472491520. Its totient is φ = 103183110696960.

The previous prime is 204200440141969. The next prime is 204200440142029. The reversal of 204200440142013 is 310241044002402.

204200440142013 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 0 + 0 + 440 + 14 + 201 + 3 = 666.

It is not a de Polignac number, because 204200440142013 - 2⁶ = 204200440141949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204200440143013) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15887369295 + ... + 15887382147.

It is an arithmetic number, because the mean of its divisors is an integer number (1024108001280).

Almost surely, 2^{204200440142013} is an apocalyptic number.

It is an amenable number.

204200440142013 is a deficient number, since it is larger than the sum of its proper divisors (189057032349507).

204200440142013 is a wasteful number, since it uses less digits than its factorization.

204200440142013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13439 (or 13427 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 204200440142013 its reverse (310241044002402), we get a palindrome (514441484144415).

The spelling of 204200440142013 in words is "two hundred four trillion, two hundred billion, four hundred forty million, one hundred forty-two thousand, thirteen".