204153504013440 has 96 divisors (see below), whose sum is σ = 704967568566300. Its totient is φ = 54440934402048.

The previous prime is 204153504013411. The next prime is 204153504013441. The reversal of 204153504013440 is 44310405351402.

204153504013440 is a `hidden beast` number, since 2 + 0 + 4 + 15 + 3 + 504 + 0 + 134 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 195331035783744 + 8822468229696 = 13976088^2 + 2970264^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 204153504013395 and 204153504013404.

It is not an unprimeable number, because it can be changed into a prime (204153504013441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17721652575 + ... + 17721664094.

Almost surely, 2^{204153504013440} is an apocalyptic number.

204153504013440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204153504013440 is an abundant number, since it is smaller than the sum of its proper divisors (500814064552860).

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

204153504013440 is a wasteful number, since it uses less digits than its factorization.

204153504013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35443316694 (or 35443316679 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 204153504013440 its reverse (44310405351402), we get a palindrome (248463909364842).

The spelling of 204153504013440 in words is "two hundred four trillion, one hundred fifty-three billion, five hundred four million, thirteen thousand, four hundred forty".