205422155040 has 96 divisors (see below), whose sum is σ = 648882783360. Its totient is φ = 54626607104.

The previous prime is 205422155033. The next prime is 205422155083. The reversal of 205422155040 is 40551224502.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 205422154989 and 205422155007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423729 + ... + 768368.

It is an arithmetic number, because the mean of its divisors is an integer number (6759195660).

Almost surely, 2^205422155040 is an apocalyptic number.

205422155040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205422155040 is an abundant number, since it is smaller than the sum of its proper divisors (443460628320).

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

205422155040 is a wasteful number, since it uses less digits than its factorization.

205422155040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192474 (or 1192466 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

Adding to 205422155040 its reverse (40551224502), we get a palindrome (245973379542).

It can be divided in two parts, 20542215 and 5040, that added together give a triangular number (20547255 = T₆₄₁₀).

The spelling of 205422155040 in words is "two hundred five billion, four hundred twenty-two million, one hundred fifty-five thousand, forty".