5140240000 has 320 divisors, whose sum is σ = 14950964160. Its totient is φ = 1723392000.

The previous prime is 5140239967. The next prime is 5140240009. The reversal of 5140240000 is 420415.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5140240009) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 37519932 + ... + 37520068.

It is an arithmetic number, because the mean of its divisors is an integer number (46721763).

Almost surely, 2^5140240000 is an apocalyptic number.

5140240000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5140240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7475482080).

5140240000 is an abundant number, since it is smaller than the sum of its proper divisors (9810724160).

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

5140240000 is an equidigital number, since it uses as much as digits as its factorization.

5140240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 5140240000 is about 71695.4670812597. The cubic root of 5140240000 is about 1725.8158991253.

Adding to 5140240000 its reverse (420415), we get a palindrome (5140660415).

The spelling of 5140240000 in words is "five billion, one hundred forty million, two hundred forty thousand".