5141046144 has 256 divisors, whose sum is σ = 15730848000. Its totient is φ = 1474412544.

The previous prime is 5141046139. The next prime is 5141046161. The reversal of 5141046144 is 4416401415.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6354412 + ... + 6355220.

It is an arithmetic number, because the mean of its divisors is an integer number (61448625).

Almost surely, 2^5141046144 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 5141046144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7865424000).

5141046144 is an abundant number, since it is smaller than the sum of its proper divisors (10589801856).

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

5141046144 is a wasteful number, since it uses less digits than its factorization.

5141046144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 5141046144 is about 71701.0888620250. The cubic root of 5141046144 is about 1725.9061143298.

Adding to 5141046144 its reverse (4416401415), we get a palindrome (9557447559).

The spelling of 5141046144 in words is "five billion, one hundred forty-one million, forty-six thousand, one hundred forty-four".