4418614464 has 224 divisors, whose sum is σ = 13891564800. Its totient is φ = 1224437760.

The previous prime is 4418614429. The next prime is 4418614469. The reversal of 4418614464 is 4644168144.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4418614469) 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, 1161814 + ... + 1165610.

Almost surely, 2^4418614464 is an apocalyptic number.

4418614464 is a gapful number since it is divisible by the number (44) 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 4418614464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6945782400).

4418614464 is an abundant number, since it is smaller than the sum of its proper divisors (9472950336).

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

4418614464 is a wasteful number, since it uses less digits than its factorization.

4418614464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3871 (or 3861 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 4418614464 is about 66472.6595225436. The cubic root of 4418614464 is about 1640.9500820538.

The spelling of 4418614464 in words is "four billion, four hundred eighteen million, six hundred fourteen thousand, four hundred sixty-four".