20040344206344 has 144 divisors (see below), whose sum is σ = 68877064404720. Its totient is φ = 5205284199360.

The previous prime is 20040344206339. The next prime is 20040344206349. The reversal of 20040344206344 is 44360244304002.

20040344206344 is a `hidden beast` number, since 2 + 0 + 0 + 403 + 4 + 4 + 206 + 3 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (20040344206339) and next prime (20040344206349).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20040344206299 and 20040344206308.

It is not an unprimeable number, because it can be changed into a prime (20040344206349) 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 35 ways as a sum of consecutive naturals, for example, 258159814 + ... + 258237429.

It is an arithmetic number, because the mean of its divisors is an integer number (478312947255).

Almost surely, 2^{20040344206344} is an apocalyptic number.

20040344206344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20040344206344 is an abundant number, since it is smaller than the sum of its proper divisors (48836720198376).

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

20040344206344 is a wasteful number, since it uses less digits than its factorization.

20040344206344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516397280 (or 516397266 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

The spelling of 20040344206344 in words is "twenty trillion, forty billion, three hundred forty-four million, two hundred six thousand, three hundred forty-four".