3135413440 has 56 divisors (see below), whose sum is σ = 7859176560. Its totient is φ = 1188154368.

The previous prime is 3135413419. The next prime is 3135413441. The reversal of 3135413440 is 443145313.

It is a junction number, because it is equal to n+sod(n) for n = 3135413399 and 3135413408.

It is not an unprimeable number, because it can be changed into a prime (3135413441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251767 + ... + 263926.

Almost surely, 2^3135413440 is an apocalyptic number.

It is an amenable number.

3135413440 is an abundant number, since it is smaller than the sum of its proper divisors (4723763120).

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

3135413440 is a wasteful number, since it uses less digits than its factorization.

3135413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515729 (or 515719 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 3135413440 is about 55994.7626122301. The cubic root of 3135413440 is about 1463.6310197153.

Adding to 3135413440 its reverse (443145313), we get a palindrome (3578558753).

The spelling of 3135413440 in words is "three billion, one hundred thirty-five million, four hundred thirteen thousand, four hundred forty".