204132312240 has 80 divisors (see below), whose sum is σ = 649913173728. Its totient is φ = 52964057088.

The previous prime is 204132312211. The next prime is 204132312247. The reversal of 204132312240 is 42213231402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×204132312240³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 204132312240.

It is not an unprimeable number, because it can be changed into a prime (204132312247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11485057 + ... + 11502816.

Almost surely, 2^204132312240 is an apocalyptic number.

204132312240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204132312240 is an abundant number, since it is smaller than the sum of its proper divisors (445780861488).

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

204132312240 is a wasteful number, since it uses less digits than its factorization.

204132312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22987926 (or 22987920 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 204132312240 its reverse (42213231402), we get a palindrome (246345543642).

The spelling of 204132312240 in words is "two hundred four billion, one hundred thirty-two million, three hundred twelve thousand, two hundred forty".