205117194240 has 1008 divisors, whose sum is σ = 879394134528. Its totient is φ = 44845498368.

The previous prime is 205117194229. The next prime is 205117194301. The reversal of 205117194240 is 42491711502.

205117194240 is a `hidden beast` number, since 205 + 1 + 17 + 19 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 = 205117194195 and 205117194204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8918138869 + ... + 8918138891.

It is an arithmetic number, because the mean of its divisors is an integer number (872414816).

Almost surely, 2^205117194240 is an apocalyptic number.

205117194240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205117194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439697067264).

205117194240 is an abundant number, since it is smaller than the sum of its proper divisors (674276940288).

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

205117194240 is an frugal number, since it uses more digits than its factorization.

205117194240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 205117194240 in words is "two hundred five billion, one hundred seventeen million, one hundred ninety-four thousand, two hundred forty".