204014041440 has 96 divisors (see below), whose sum is σ = 701066451456. Its totient is φ = 49457948160.

The previous prime is 204014041433. The next prime is 204014041457. The reversal of 204014041440 is 44140410402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 204014041440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19314232 + ... + 19324791.

It is an arithmetic number, because the mean of its divisors is an integer number (7302775536).

Almost surely, 2^204014041440 is an apocalyptic number.

204014041440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204014041440 is an abundant number, since it is smaller than the sum of its proper divisors (497052410016).

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

204014041440 is a wasteful number, since it uses less digits than its factorization.

204014041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38639052 (or 38639044 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 204014041440 its reverse (44140410402), we get a palindrome (248154451842).

The spelling of 204014041440 in words is "two hundred four billion, fourteen million, forty-one thousand, four hundred forty".