4313413440 has 336 divisors, whose sum is σ = 17849819520. Its totient is φ = 933949440.

The previous prime is 4313413411. The next prime is 4313413483. The reversal of 4313413440 is 443143134.

4313413440 is a `hidden beast` number, since 4 + 313 + 4 + 1 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377410 + ... + 388670.

Almost surely, 2^4313413440 is an apocalyptic number.

4313413440 is a gapful number since it is divisible by the number (40) 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 4313413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8924909760).

4313413440 is an abundant number, since it is smaller than the sum of its proper divisors (13536406080).

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

4313413440 is a wasteful number, since it uses less digits than its factorization.

4313413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11310 (or 11297 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4313413440 is about 65676.5821278787. The cubic root of 4313413440 is about 1627.8224325245.

Adding to 4313413440 its reverse (443143134), we get a palindrome (4756556574).

The spelling of 4313413440 in words is "four billion, three hundred thirteen million, four hundred thirteen thousand, four hundred forty".