201034213344 has 144 divisors (see below), whose sum is σ = 590687645184. Its totient is φ = 64788768000.

The previous prime is 201034213319. The next prime is 201034213357. The reversal of 201034213344 is 443312430102.

201034213344 is a `hidden beast` number, since 2 + 0 + 103 + 4 + 213 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10016119 + ... + 10036169.

It is an arithmetic number, because the mean of its divisors is an integer number (4101997536).

Almost surely, 2^201034213344 is an apocalyptic number.

201034213344 is a gapful number since it is divisible by the number (24) 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 201034213344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295343822592).

201034213344 is an abundant number, since it is smaller than the sum of its proper divisors (389653431840).

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

201034213344 is a wasteful number, since it uses less digits than its factorization.

201034213344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21221 (or 21210 counting only the distinct ones).

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

Adding to 201034213344 its reverse (443312430102), we get a palindrome (644346643446).

The spelling of 201034213344 in words is "two hundred one billion, thirty-four million, two hundred thirteen thousand, three hundred forty-four".