5141343456 has 576 divisors, whose sum is σ = 17831923200. Its totient is φ = 1445216256.

The previous prime is 5141343391. The next prime is 5141343481. The reversal of 5141343456 is 6543431415.

5141343456 is a `hidden beast` number, since 514 + 134 + 3 + 4 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5141343456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57767860 + ... + 57767948.

It is an arithmetic number, because the mean of its divisors is an integer number (30958200).

Almost surely, 2^5141343456 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 5141343456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8915961600).

5141343456 is an abundant number, since it is smaller than the sum of its proper divisors (12690579744).

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

5141343456 is a wasteful number, since it uses less digits than its factorization.

5141343456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 153 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 5141343456 is about 71703.1621060048. The cubic root of 5141343456 is about 1725.9393839986.

The spelling of 5141343456 in words is "five billion, one hundred forty-one million, three hundred forty-three thousand, four hundred fifty-six".