5143971840 has 384 divisors, whose sum is σ = 19813248000. Its totient is φ = 1112997888.

The previous prime is 5143971839. The next prime is 5143971881. The reversal of 5143971840 is 481793415.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5143971792 and 5143971801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4085131 + ... + 4086389.

It is an arithmetic number, because the mean of its divisors is an integer number (51597000).

Almost surely, 2^5143971840 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 5143971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9906624000).

5143971840 is an abundant number, since it is smaller than the sum of its proper divisors (14669276160).

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

5143971840 is a wasteful number, since it uses less digits than its factorization.

5143971840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 5143971840 is about 71721.4879934877. The cubic root of 5143971840 is about 1726.2334484245.

The spelling of 5143971840 in words is "five billion, one hundred forty-three million, nine hundred seventy-one thousand, eight hundred forty".