201402008000 has 112 divisors (see below), whose sum is σ = 505798458048. Its totient is φ = 79425920000.

The previous prime is 201402007957. The next prime is 201402008023. The reversal of 201402008000 is 800204102.

201402008000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 201402008000.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 390710 + ... + 745290.

Almost surely, 2^201402008000 is an apocalyptic number.

201402008000 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 201402008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252899229024).

201402008000 is an abundant number, since it is smaller than the sum of its proper divisors (304396450048).

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

201402008000 is an equidigital number, since it uses as much as digits as its factorization.

201402008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354679 (or 354659 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The spelling of 201402008000 in words is "two hundred one billion, four hundred two million, eight thousand".