201641013144 has 192 divisors, whose sum is σ = 582404659200. Its totient is φ = 65311588224.

The previous prime is 201641013121. The next prime is 201641013149. The reversal of 201641013144 is 441310146102.

201641013144 is a `hidden beast` number, since 2 + 0 + 1 + 641 + 0 + 1 + 3 + 14 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201641013149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78184447 + ... + 78187025.

It is an arithmetic number, because the mean of its divisors is an integer number (3033357600).

Almost surely, 2^201641013144 is an apocalyptic number.

201641013144 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 201641013144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291202329600).

201641013144 is an abundant number, since it is smaller than the sum of its proper divisors (380763646056).

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

201641013144 is a wasteful number, since it uses less digits than its factorization.

201641013144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3724 (or 3708 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 201641013144 its reverse (441310146102), we get a palindrome (642951159246).

The spelling of 201641013144 in words is "two hundred one billion, six hundred forty-one million, thirteen thousand, one hundred forty-four".