4565518440 has 256 divisors, whose sum is σ = 15965683200. Its totient is φ = 1022951424.

The previous prime is 4565518439. The next prime is 4565518457. The reversal of 4565518440 is 448155654.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4565518392 and 4565518401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12933304 + ... + 12933656.

It is an arithmetic number, because the mean of its divisors is an integer number (62365950).

Almost surely, 2^4565518440 is an apocalyptic number.

4565518440 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 4565518440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7982841600).

4565518440 is an abundant number, since it is smaller than the sum of its proper divisors (11400164760).

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

4565518440 is a wasteful number, since it uses less digits than its factorization.

4565518440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The square root of 4565518440 is about 67568.6202315838. The cubic root of 4565518440 is about 1658.9375356393.

The spelling of 4565518440 in words is "four billion, five hundred sixty-five million, five hundred eighteen thousand, four hundred forty".