204001414240032 has 60 divisors (see below), whose sum is σ = 599962492581606. Its totient is φ = 68000471412480.

The previous prime is 204001414240007. The next prime is 204001414240049. The reversal of 204001414240032 is 230042414100402.

204001414240032 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 0 + 1 + 414 + 240 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 135865040205456 + 68136374034576 = 11656116^2 + 8254476^2 .

It is a super-2 number, since 2×204001414240032² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 204001414239978 and 204001414240005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39352122069 + ... + 39352127252.

Almost surely, 2^{204001414240032} is an apocalyptic number.

It is an amenable number.

204001414240032 is an abundant number, since it is smaller than the sum of its proper divisors (395961078341574).

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

204001414240032 is an equidigital number, since it uses as much as digits as its factorization.

204001414240032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78704249343 (or 78704249326 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 204001414240032 its reverse (230042414100402), we get a palindrome (434043828340434).

The spelling of 204001414240032 in words is "two hundred four trillion, one billion, four hundred fourteen million, two hundred forty thousand, thirty-two".