201332040000 has 1120 divisors, whose sum is σ = 831837726720. Its totient is φ = 41831424000.

The previous prime is 201332039939. The next prime is 201332040071. The reversal of 201332040000 is 40233102.

It is a tau number, because it is divible by the number of its divisors (1120).

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1124759911 + ... + 1124760089.

It is an arithmetic number, because the mean of its divisors is an integer number (742712256).

Almost surely, 2^201332040000 is an apocalyptic number.

201332040000 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 201332040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415918863360).

201332040000 is an abundant number, since it is smaller than the sum of its proper divisors (630505686720).

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

201332040000 is a wasteful number, since it uses less digits than its factorization.

201332040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 201332040000 its reverse (40233102), we get a palindrome (201372273102).

The spelling of 201332040000 in words is "two hundred one billion, three hundred thirty-two million, forty thousand".