201411315144 has 192 divisors, whose sum is σ = 597043487040. Its totient is φ = 60963217920.

The previous prime is 201411315101. The next prime is 201411315181. The reversal of 201411315144 is 441513114102.

It is a happy number.

201411315144 is a `hidden beast` number, since 2 + 0 + 14 + 1 + 131 + 514 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56878014 + ... + 56881554.

It is an arithmetic number, because the mean of its divisors is an integer number (3109601495).

Almost surely, 2^201411315144 is an apocalyptic number.

201411315144 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 201411315144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298521743520).

201411315144 is an abundant number, since it is smaller than the sum of its proper divisors (395632171896).

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

201411315144 is a wasteful number, since it uses less digits than its factorization.

201411315144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4540 (or 4533 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 201411315144 its reverse (441513114102), we get a palindrome (642924429246).

The spelling of 201411315144 in words is "two hundred one billion, four hundred eleven million, three hundred fifteen thousand, one hundred forty-four".