201013440000 has 800 divisors, whose sum is σ = 721367713440. Its totient is φ = 49545216000.

The previous prime is 201013439993. The next prime is 201013440013. The reversal of 201013440000 is 44310102.

It is a tau number, because it is divible by the number of its divisors (800).

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 79 ways as a sum of consecutive naturals, for example, 1778879944 + ... + 1778880056.

Almost surely, 2^201013440000 is an apocalyptic number.

201013440000 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 201013440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360683856720).

201013440000 is an abundant number, since it is smaller than the sum of its proper divisors (520354273440).

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

201013440000 is a wasteful number, since it uses less digits than its factorization.

201013440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 249 counting only the distinct ones).

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

Adding to 201013440000 its reverse (44310102), we get a palindrome (201057750102).

The spelling of 201013440000 in words is "two hundred one billion, thirteen million, four hundred forty thousand".