204214432240 has 160 divisors (see below), whose sum is σ = 596801802240. Its totient is φ = 63255278592.

The previous prime is 204214432231. The next prime is 204214432313. The reversal of 204214432240 is 42234412402.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 204214432199 and 204214432208.

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, 43741 + ... + 640579.

It is an arithmetic number, because the mean of its divisors is an integer number (3730011264).

Almost surely, 2^204214432240 is an apocalyptic number.

204214432240 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 204214432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298400901120).

204214432240 is an abundant number, since it is smaller than the sum of its proper divisors (392587370000).

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

204214432240 is a wasteful number, since it uses less digits than its factorization.

204214432240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596919 (or 596913 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 204214432240 its reverse (42234412402), we get a palindrome (246448844642).

The spelling of 204214432240 in words is "two hundred four billion, two hundred fourteen million, four hundred thirty-two thousand, two hundred forty".