518438811440 has 80 divisors (see below), whose sum is σ = 1315966085280. Its totient is φ = 188377436160.

The previous prime is 518438811433. The next prime is 518438811491. The reversal of 518438811440 is 44118834815.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 914246 + ... + 1368474.

It is an arithmetic number, because the mean of its divisors is an integer number (16449576066).

Almost surely, 2^518438811440 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 518438811440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657983042640).

518438811440 is an abundant number, since it is smaller than the sum of its proper divisors (797527273840).

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

518438811440 is a wasteful number, since it uses less digits than its factorization.

518438811440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455550 (or 455544 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 47.

The spelling of 518438811440 in words is "five hundred eighteen billion, four hundred thirty-eight million, eight hundred eleven thousand, four hundred forty".