205245130145440 has 384 divisors, whose sum is σ = 618889388382720. Its totient is φ = 62471430144000.

The previous prime is 205245130145423. The next prime is 205245130145441. The reversal of 205245130145440 is 44541031542502.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 205245130145393 and 205245130145402.

It is not an unprimeable number, because it can be changed into a prime (205245130145441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89705596 + ... + 91965124.

It is an arithmetic number, because the mean of its divisors is an integer number (1611691115580).

Almost surely, 2^{205245130145440} is an apocalyptic number.

205245130145440 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 205245130145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309444694191360).

205245130145440 is an abundant number, since it is smaller than the sum of its proper divisors (413644258237280).

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

205245130145440 is a wasteful number, since it uses less digits than its factorization.

205245130145440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259736 (or 2259728 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

Adding to 205245130145440 its reverse (44541031542502), we get a palindrome (249786161687942).

The spelling of 205245130145440 in words is "two hundred five trillion, two hundred forty-five billion, one hundred thirty million, one hundred forty-five thousand, four hundred forty".