201404004004 has 36 divisors (see below), whose sum is σ = 413762529180. Its totient is φ = 85524102720.

The previous prime is 201404003981. The next prime is 201404004029. The reversal of 201404004004 is 400400404102.

201404004004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 167896701504 + 33507302500 = 409752^2 + 183050^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4692267 + ... + 4734994.

Almost surely, 2^201404004004 is an apocalyptic number.

It is an amenable number.

201404004004 is an abundant number, since it is smaller than the sum of its proper divisors (212358525176).

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

201404004004 is a wasteful number, since it uses less digits than its factorization.

201404004004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9427388 (or 9427379 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 201404004004 its reverse (400400404102), we get a palindrome (601804408106).

The spelling of 201404004004 in words is "two hundred one billion, four hundred four million, four thousand, four".