204413621240031 has 128 divisors (see below), whose sum is σ = 326001363916800. Its totient is φ = 113823151174656.

The previous prime is 204413621240021. The next prime is 204413621240051. The reversal of 204413621240031 is 130042126314402.

It is not a de Polignac number, because 204413621240031 - 2²³ = 204413612851423 is a prime.

It is a super-2 number, since 2×204413621240031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 204413621239974 and 204413621240001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204413621240021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73083166725 + ... + 73083169521.

It is an arithmetic number, because the mean of its divisors is an integer number (2546885655600).

Almost surely, 2^{204413621240031} is an apocalyptic number.

204413621240031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

204413621240031 is a deficient number, since it is larger than the sum of its proper divisors (121587742676769).

204413621240031 is a wasteful number, since it uses less digits than its factorization.

204413621240031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6158 (or 6144 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 204413621240031 its reverse (130042126314402), we get a palindrome (334455747554433).

The spelling of 204413621240031 in words is "two hundred four trillion, four hundred thirteen billion, six hundred twenty-one million, two hundred forty thousand, thirty-one".