5016182149440 has 1344 divisors, whose sum is σ = 21746432268288. Its totient is φ = 1030993920000.

The previous prime is 5016182149421. The next prime is 5016182149471. The reversal of 5016182149440 is 449412816105.

5016182149440 is a `hidden beast` number, since 5 + 0 + 1 + 61 + 8 + 2 + 149 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12635219322 + ... + 12635219718.

It is an arithmetic number, because the mean of its divisors is an integer number (16180381152).

Almost surely, 2^{5016182149440} 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 5016182149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10873216134144).

5016182149440 is an abundant number, since it is smaller than the sum of its proper divisors (16730250118848).

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

5016182149440 is a wasteful number, since it uses less digits than its factorization.

5016182149440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 5016182149440 in words is "five trillion, sixteen billion, one hundred eighty-two million, one hundred forty-nine thousand, four hundred forty".