204008220416 has 576 divisors, whose sum is σ = 575008530432. Its totient is φ = 69672960000.

The previous prime is 204008220389. The next prime is 204008220443. The reversal of 204008220416 is 614022800402.

It is an interprime number because it is at equal distance from previous prime (204008220389) and next prime (204008220443).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 484579886 + ... + 484580306.

Almost surely, 2^204008220416 is an apocalyptic number.

204008220416 is a gapful number since it is divisible by the number (26) 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 204008220416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287504265216).

204008220416 is an abundant number, since it is smaller than the sum of its proper divisors (371000310016).

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

204008220416 is a wasteful number, since it uses less digits than its factorization.

204008220416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

It can be divided in two parts, 204008 and 220416, that added together give a palindrome (424424).

The spelling of 204008220416 in words is "two hundred four billion, eight million, two hundred twenty thousand, four hundred sixteen".