204105225440400 has 60 divisors (see below), whose sum is σ = 653817072164592. Its totient is φ = 54428060117120.

The previous prime is 204105225440387. The next prime is 204105225440429. The reversal of 204105225440400 is 4044522501402.

204105225440400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85043842734 + ... + 85043845133.

Almost surely, 2^{204105225440400} is an apocalyptic number.

204105225440400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204105225440400 is an abundant number, since it is smaller than the sum of its proper divisors (449711846724192).

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

204105225440400 is a wasteful number, since it uses less digits than its factorization.

204105225440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170087687888 (or 170087687877 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 33.

Adding to 204105225440400 its reverse (4044522501402), we get a palindrome (208149747941802).

The spelling of 204105225440400 in words is "two hundred four trillion, one hundred five billion, two hundred twenty-five million, four hundred forty thousand, four hundred".