201003344640 has 576 divisors, whose sum is σ = 827413816320. Its totient is φ = 45254246400.

The previous prime is 201003344621. The next prime is 201003344653. The reversal of 201003344640 is 46443300102.

201003344640 is a `hidden beast` number, since 2 + 0 + 10 + 0 + 3 + 3 + 4 + 4 + 640 = 666.

201003344640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16202440 + ... + 16214840.

It is an arithmetic number, because the mean of its divisors is an integer number (1436482320).

Almost surely, 2^201003344640 is an apocalyptic number.

201003344640 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 201003344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413706908160).

201003344640 is an abundant number, since it is smaller than the sum of its proper divisors (626410471680).

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

201003344640 is a wasteful number, since it uses less digits than its factorization.

201003344640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12505 (or 12485 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 201003344640 its reverse (46443300102), we get a palindrome (247446644742).

The spelling of 201003344640 in words is "two hundred one billion, three million, three hundred forty-four thousand, six hundred forty".