4242917503440 has 1280 divisors, whose sum is σ = 18695032012800. Its totient is φ = 858806323200.

The previous prime is 4242917503343. The next prime is 4242917503441. The reversal of 4242917503440 is 443057192424.

4242917503440 is a `hidden beast` number, since 4 + 242 + 9 + 17 + 50 + 344 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242917503441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4083654441 + ... + 4083655479.

It is an arithmetic number, because the mean of its divisors is an integer number (14605493760).

Almost surely, 2^{4242917503440} is an apocalyptic number.

4242917503440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242917503440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9347516006400).

4242917503440 is an abundant number, since it is smaller than the sum of its proper divisors (14452114509360).

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

4242917503440 is a wasteful number, since it uses less digits than its factorization.

4242917503440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 4242917503440 in words is "four trillion, two hundred forty-two billion, nine hundred seventeen million, five hundred three thousand, four hundred forty".