204020460513400 has 96 divisors (see below), whose sum is σ = 482307525699840. Its totient is φ = 80243183180160.

The previous prime is 204020460513383. The next prime is 204020460513403. The reversal of 204020460513400 is 4315064020402.

204020460513400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×204020460513400³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204020460513403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6587392 + ... + 21246991.

It is an arithmetic number, because the mean of its divisors is an integer number (5024036726040).

Almost surely, 2^{204020460513400} is an apocalyptic number.

204020460513400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204020460513400 is an abundant number, since it is smaller than the sum of its proper divisors (278287065186440).

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

204020460513400 is a wasteful number, since it uses less digits than its factorization.

204020460513400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27835013 (or 27835004 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The spelling of 204020460513400 in words is "two hundred four trillion, twenty billion, four hundred sixty million, five hundred thirteen thousand, four hundred".