5182412840640 has 2520 divisors, whose sum is σ = 23067081607680. Its totient is φ = 1100860637184.

The previous prime is 5182412840617. The next prime is 5182412840641. The reversal of 5182412840640 is 460482142815.

5182412840640 is a `hidden beast` number, since 5 + 1 + 82 + 4 + 128 + 406 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5182412840641) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 40806400257 + ... + 40806400383.

Almost surely, 2^{5182412840640} 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 5182412840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11533540803840).

5182412840640 is an abundant number, since it is smaller than the sum of its proper divisors (17884668767040).

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

5182412840640 is a wasteful number, since it uses less digits than its factorization.

5182412840640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 5182412840640 in words is "five trillion, one hundred eighty-two billion, four hundred twelve million, eight hundred forty thousand, six hundred forty".