4518037440 has 560 divisors, whose sum is σ = 18891820992. Its totient is φ = 1003290624.

The previous prime is 4518037427. The next prime is 4518037457. The reversal of 4518037440 is 447308154.

4518037440 is a `hidden beast` number, since 4 + 5 + 180 + 37 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4518037395 and 4518037404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6712944 + ... + 6713616.

Almost surely, 2^4518037440 is an apocalyptic number.

4518037440 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 4518037440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9445910496).

4518037440 is an abundant number, since it is smaller than the sum of its proper divisors (14373783552).

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

4518037440 is a wasteful number, since it uses less digits than its factorization.

4518037440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4518037440 is about 67216.3480114771. The cubic root of 4518037440 is about 1653.1665472290.

The spelling of 4518037440 in words is "four billion, five hundred eighteen million, thirty-seven thousand, four hundred forty".