4508742387240 has 1152 divisors, whose sum is σ = 18883624556160. Its totient is φ = 924356579328.

The previous prime is 4508742387239. The next prime is 4508742387241. The reversal of 4508742387240 is 427832478054.

4508742387240 is a `hidden beast` number, since 4 + 508 + 7 + 4 + 23 + 8 + 72 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4508742387239) and next prime (4508742387241).

It is a super-2 number, since 2×4508742387240² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4508742387241) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 1300471987 + ... + 1300475453.

It is an arithmetic number, because the mean of its divisors is an integer number (16392035205).

Almost surely, 2^{4508742387240} is an apocalyptic number.

4508742387240 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 4508742387240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9441812278080).

4508742387240 is an abundant number, since it is smaller than the sum of its proper divisors (14374882168920).

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

4508742387240 is a wasteful number, since it uses less digits than its factorization.

4508742387240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3671 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

The spelling of 4508742387240 in words is "four trillion, five hundred eight billion, seven hundred forty-two million, three hundred eighty-seven thousand, two hundred forty".