4415312340 has 144 divisors (see below), whose sum is σ = 14364604800. Its totient is φ = 1094356224.

The previous prime is 4415312303. The next prime is 4415312347. The reversal of 4415312340 is 432135144.

It is a happy number.

4415312340 is a `hidden beast` number, since 4 + 4 + 1 + 5 + 312 + 340 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4415312347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169081 + ... + 193439.

It is an arithmetic number, because the mean of its divisors is an integer number (99754200).

Almost surely, 2^4415312340 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 4415312340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7182302400).

4415312340 is an abundant number, since it is smaller than the sum of its proper divisors (9949292460).

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

4415312340 is a wasteful number, since it uses less digits than its factorization.

4415312340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24446 (or 24441 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4415312340 is about 66447.8166684203. The cubic root of 4415312340 is about 1640.5412079546.

Adding to 4415312340 its reverse (432135144), we get a palindrome (4847447484).

The spelling of 4415312340 in words is "four billion, four hundred fifteen million, three hundred twelve thousand, three hundred forty".