518249885144040 has 256 divisors, whose sum is σ = 1974546608832000. Its totient is φ = 118441436682240.

The previous prime is 518249885144029. The next prime is 518249885144129. The reversal of 518249885144040 is 40441588942815.

518249885144040 is a `hidden beast` number, since 5 + 1 + 8 + 24 + 9 + 88 + 51 + 440 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 52627926 + ... + 61694394.

It is an arithmetic number, because the mean of its divisors is an integer number (7713072690750).

Almost surely, 2^{518249885144040} 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 518249885144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987273304416000).

518249885144040 is an abundant number, since it is smaller than the sum of its proper divisors (1456296723687960).

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

518249885144040 is a wasteful number, since it uses less digits than its factorization.

518249885144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9074057 (or 9074047 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 63.

The spelling of 518249885144040 in words is "five hundred eighteen trillion, two hundred forty-nine billion, eight hundred eighty-five million, one hundred forty-four thousand, forty".