205104434040 has 128 divisors (see below), whose sum is σ = 745834348800. Its totient is φ = 49722284160.

The previous prime is 205104434027. The next prime is 205104434081. The reversal of 205104434040 is 40434401502.

It is a happy number.

205104434040 is a `hidden beast` number, since 205 + 10 + 4 + 43 + 404 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 205104433995 and 205104434013.

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, 8620462 + ... + 8644221.

It is an arithmetic number, because the mean of its divisors is an integer number (5826830850).

Almost surely, 2^205104434040 is an apocalyptic number.

205104434040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205104434040 is an abundant number, since it is smaller than the sum of its proper divisors (540729914760).

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

205104434040 is a wasteful number, since it uses less digits than its factorization.

205104434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17264714 (or 17264704 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 205104434040 its reverse (40434401502), we get a palindrome (245538835542).

The spelling of 205104434040 in words is "two hundred five billion, one hundred four million, four hundred thirty-four thousand, forty".