3133416440 has 128 divisors (see below), whose sum is σ = 8812108800. Its totient is φ = 974177280.

The previous prime is 3133416409. The next prime is 3133416443. The reversal of 3133416440 is 446143313.

3133416440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133416443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1498916 + ... + 1501004.

It is an arithmetic number, because the mean of its divisors is an integer number (68844600).

Almost surely, 2^3133416440 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 3133416440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406054400).

3133416440 is an abundant number, since it is smaller than the sum of its proper divisors (5678692360).

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

3133416440 is a wasteful number, since it uses less digits than its factorization.

3133416440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2605 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 3133416440 is about 55976.9277470638. The cubic root of 3133416440 is about 1463.3202162689.

Adding to 3133416440 its reverse (446143313), we get a palindrome (3579559753).

It can be divided in two parts, 31334 and 16440, that added together give a palindrome (47774).

The spelling of 3133416440 in words is "three billion, one hundred thirty-three million, four hundred sixteen thousand, four hundred forty".