201140034000 has 160 divisors (see below), whose sum is σ = 648911502720. Its totient is φ = 53601280000.

The previous prime is 201140033981. The next prime is 201140034023. The reversal of 201140034000 is 430041102.

201140034000 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 (15).

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 31 ways as a sum of consecutive naturals, for example, 9595531 + ... + 9616469.

It is an arithmetic number, because the mean of its divisors is an integer number (4055696892).

Almost surely, 2^201140034000 is an apocalyptic number.

201140034000 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 201140034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324455751360).

201140034000 is an abundant number, since it is smaller than the sum of its proper divisors (447771468720).

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

201140034000 is a wasteful number, since it uses less digits than its factorization.

201140034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22566 (or 22550 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 201140034000 its reverse (430041102), we get a palindrome (201570075102).

The spelling of 201140034000 in words is "two hundred one billion, one hundred forty million, thirty-four thousand".