204220103343440 has 160 divisors (see below), whose sum is σ = 503248727520000. Its totient is φ = 76855795052544.

The previous prime is 204220103343427. The next prime is 204220103343461. The reversal of 204220103343440 is 44343301022402.

It is a junction number, because it is equal to n+sod(n) for n = 204220103343397 and 204220103343406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281145836 + ... + 281871284.

It is an arithmetic number, because the mean of its divisors is an integer number (3145304547000).

Almost surely, 2^{204220103343440} is an apocalyptic number.

204220103343440 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 204220103343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251624363760000).

204220103343440 is an abundant number, since it is smaller than the sum of its proper divisors (299028624176560).

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

204220103343440 is a wasteful number, since it uses less digits than its factorization.

204220103343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726757 (or 726751 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 204220103343440 its reverse (44343301022402), we get a palindrome (248563404365842).

The spelling of 204220103343440 in words is "two hundred four trillion, two hundred twenty billion, one hundred three million, three hundred forty-three thousand, four hundred forty".