204422053440 has 224 divisors, whose sum is σ = 709986392064. Its totient is φ = 49420892160.

The previous prime is 204422053439. The next prime is 204422053489. The reversal of 204422053440 is 44350224402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 204422053398 and 204422053407.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3849147 + ... + 3901893.

Almost surely, 2^204422053440 is an apocalyptic number.

204422053440 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 204422053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354993196032).

204422053440 is an abundant number, since it is smaller than the sum of its proper divisors (505564338624).

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

204422053440 is a wasteful number, since it uses less digits than its factorization.

204422053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53145 (or 53135 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 204422053440 its reverse (44350224402), we get a palindrome (248772277842).

The spelling of 204422053440 in words is "two hundred four billion, four hundred twenty-two million, fifty-three thousand, four hundred forty".