5417661918240 has 2880 divisors, whose sum is σ = 24282004158720. Its totient is φ = 1126611763200.

The previous prime is 5417661918217. The next prime is 5417661918271. The reversal of 5417661918240 is 428191667145.

5417661918240 is a `hidden beast` number, since 5 + 4 + 1 + 7 + 6 + 619 + 18 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 479 ways as a sum of consecutive naturals, for example, 27500821822 + ... + 27500822018.

It is an arithmetic number, because the mean of its divisors is an integer number (8431251444).

Almost surely, 2^{5417661918240} 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 5417661918240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12141002079360).

5417661918240 is an abundant number, since it is smaller than the sum of its proper divisors (18864342240480).

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

5417661918240 is a wasteful number, since it uses less digits than its factorization.

5417661918240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 5417661918240 in words is "five trillion, four hundred seventeen billion, six hundred sixty-one million, nine hundred eighteen thousand, two hundred forty".