5140689840 has 960 divisors, whose sum is σ = 22442313600. Its totient is φ = 1070530560.

The previous prime is 5140689833. The next prime is 5140689847. The reversal of 5140689840 is 489860415.

5140689840 is a `hidden beast` number, since 514 + 0 + 6 + 8 + 98 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5140689833) and next prime (5140689847).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5140689847) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57760516 + ... + 57760604.

It is an arithmetic number, because the mean of its divisors is an integer number (23377410).

Almost surely, 2^5140689840 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 5140689840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11221156800).

5140689840 is an abundant number, since it is smaller than the sum of its proper divisors (17301623760).

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

5140689840 is a wasteful number, since it uses less digits than its factorization.

5140689840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 5140689840 is about 71698.6041705137. The cubic root of 5140689840 is about 1725.8662416760.

It can be divided in two parts, 51406 and 89840, that added together give a triangular number (141246 = T₅₃₁).

The spelling of 5140689840 in words is "five billion, one hundred forty million, six hundred eighty-nine thousand, eight hundred forty".