204421463040 has 352 divisors, whose sum is σ = 668958289920. Its totient is φ = 53262745600.

The previous prime is 204421463027. The next prime is 204421463047. The reversal of 204421463040 is 40364124402.

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 = 204421462989 and 204421463007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204421463047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173091250 + ... + 173092430.

Almost surely, 2^204421463040 is an apocalyptic number.

204421463040 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 204421463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334479144960).

204421463040 is an abundant number, since it is smaller than the sum of its proper divisors (464536826880).

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

204421463040 is a wasteful number, since it uses less digits than its factorization.

204421463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 204421463040 its reverse (40364124402), we get a palindrome (244785587442).

The spelling of 204421463040 in words is "two hundred four billion, four hundred twenty-one million, four hundred sixty-three thousand, forty".