205152025440 has 192 divisors, whose sum is σ = 674641529856. Its totient is φ = 52304136192.

The previous prime is 205152025427. The next prime is 205152025457. The reversal of 205152025440 is 44520251502.

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 = 205152025398 and 205152025407.

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, 41585214 + ... + 41590146.

It is an arithmetic number, because the mean of its divisors is an integer number (3513757968).

Almost surely, 2^205152025440 is an apocalyptic number.

205152025440 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 205152025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337320764928).

205152025440 is an abundant number, since it is smaller than the sum of its proper divisors (469489504416).

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

205152025440 is a wasteful number, since it uses less digits than its factorization.

205152025440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8741 (or 8733 counting only the distinct ones).

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

Adding to 205152025440 its reverse (44520251502), we get a palindrome (249672276942).

The spelling of 205152025440 in words is "two hundred five billion, one hundred fifty-two million, twenty-five thousand, four hundred forty".