205240333440 has 64 divisors (see below), whose sum is σ = 654203568960. Its totient is φ = 54730755072.

The previous prime is 205240333439. The next prime is 205240333483. The reversal of 205240333440 is 44333042502.

It is a tau number, because it is divible by the number of its divisors (64).

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 = 205240333398 and 205240333407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53446084 + ... + 53449923.

It is an arithmetic number, because the mean of its divisors is an integer number (10221930765).

Almost surely, 2^205240333440 is an apocalyptic number.

205240333440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205240333440 is an abundant number, since it is smaller than the sum of its proper divisors (448963235520).

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

205240333440 is a wasteful number, since it uses less digits than its factorization.

205240333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106896029 (or 106896017 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 205240333440 its reverse (44333042502), we get a palindrome (249573375942).

The spelling of 205240333440 in words is "two hundred five billion, two hundred forty million, three hundred thirty-three thousand, four hundred forty".