204021430001440 has 48 divisors (see below), whose sum is σ = 510353606525112. Its totient is φ = 76808067764224.

The previous prime is 204021430001437. The next prime is 204021430001447. The reversal of 204021430001440 is 44100034120402.

204021430001440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 200918491383184 + 3102938618256 = 14174572^2 + 1761516^2 .

It is not an unprimeable number, because it can be changed into a prime (204021430001447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37503936619 + ... + 37503942058.

Almost surely, 2^{204021430001440} is an apocalyptic number.

204021430001440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204021430001440 is an abundant number, since it is smaller than the sum of its proper divisors (306332176523672).

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

204021430001440 is a wasteful number, since it uses less digits than its factorization.

204021430001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75007878709 (or 75007878701 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 204021430001440 its reverse (44100034120402), we get a palindrome (248121464121842).

The spelling of 204021430001440 in words is "two hundred four trillion, twenty-one billion, four hundred thirty million, one thousand, four hundred forty".