5135413440 has 112 divisors (see below), whose sum is σ = 16320686688. Its totient is φ = 1368121344.

The previous prime is 5135413421. The next prime is 5135413441. The reversal of 5135413440 is 443145315.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5135413398 and 5135413407.

It is not an unprimeable number, because it can be changed into a prime (5135413441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1373814 + ... + 1377546.

Almost surely, 2^5135413440 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 5135413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8160343344).

5135413440 is an abundant number, since it is smaller than the sum of its proper divisors (11185273248).

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

5135413440 is a wasteful number, since it uses less digits than its factorization.

5135413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5186 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5135413440 is about 71661.7990284922. The cubic root of 5135413440 is about 1725.2755636226.

Adding to 5135413440 its reverse (443145315), we get a palindrome (5578558755).

The spelling of 5135413440 in words is "five billion, one hundred thirty-five million, four hundred thirteen thousand, four hundred forty".