5135041440 has 96 divisors (see below), whose sum is σ = 17972660160. Its totient is φ = 1369343232.

The previous prime is 5135041421. The next prime is 5135041451. The reversal of 5135041440 is 441405315.

It is a happy number.

5135041440 is a `hidden beast` number, since 5 + 13 + 504 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 590014 + ... + 598653.

It is an arithmetic number, because the mean of its divisors is an integer number (187215210).

Almost surely, 2^5135041440 is an apocalyptic number.

It is an amenable number.

5135041440 is an abundant number, since it is smaller than the sum of its proper divisors (12837618720).

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

5135041440 is a wasteful number, since it uses less digits than its factorization.

5135041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188691 (or 1188677 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5135041440 is about 71659.2034563600. The cubic root of 5135041440 is about 1725.2339040098.

Adding to 5135041440 its reverse (441405315), we get a palindrome (5576446755).

The spelling of 5135041440 in words is "five billion, one hundred thirty-five million, forty-one thousand, four hundred forty".