541114410144 has 192 divisors, whose sum is σ = 1771347916800. Its totient is φ = 140515230720.

The previous prime is 541114410121. The next prime is 541114410173. The reversal of 541114410144 is 441014411145.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48774262 + ... + 48785354.

It is an arithmetic number, because the mean of its divisors is an integer number (9225770400).

Almost surely, 2^541114410144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541114410144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885673958400).

541114410144 is an abundant number, since it is smaller than the sum of its proper divisors (1230233506656).

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

541114410144 is a wasteful number, since it uses less digits than its factorization.

541114410144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17723 (or 17715 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

Adding to 541114410144 its reverse (441014411145), we get a palindrome (982128821289).

The spelling of 541114410144 in words is "five hundred forty-one billion, one hundred fourteen million, four hundred ten thousand, one hundred forty-four".