201414004000 has 192 divisors, whose sum is σ = 541377188352. Its totient is φ = 73036032000.

The previous prime is 201414003977. The next prime is 201414004063. The reversal of 201414004000 is 400414102.

201414004000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16141764 + ... + 16154236.

It is an arithmetic number, because the mean of its divisors is an integer number (2819672856).

Almost surely, 2^201414004000 is an apocalyptic number.

201414004000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201414004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270688594176).

201414004000 is an abundant number, since it is smaller than the sum of its proper divisors (339963184352).

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

201414004000 is a wasteful number, since it uses less digits than its factorization.

201414004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12876 (or 12858 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 201414004000 its reverse (400414102), we get a palindrome (201814418102).

The spelling of 201414004000 in words is "two hundred one billion, four hundred fourteen million, four thousand".