201401413000 has 64 divisors (see below), whose sum is σ = 471462001920. Its totient is φ = 80529336000.

The previous prime is 201401412991. The next prime is 201401413027. The reversal of 201401413000 is 314104102.

201401413000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2633299 + ... + 2708701.

It is an arithmetic number, because the mean of its divisors is an integer number (7366593780).

Almost surely, 2^201401413000 is an apocalyptic number.

201401413000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201401413000 is an abundant number, since it is smaller than the sum of its proper divisors (270060588920).

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

201401413000 is a wasteful number, since it uses less digits than its factorization.

201401413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78095 (or 78081 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 201401413000 its reverse (314104102), we get a palindrome (201715517102).

The spelling of 201401413000 in words is "two hundred one billion, four hundred one million, four hundred thirteen thousand".