4593972240000 has 2560 divisors, whose sum is σ = 20235422592000. Its totient is φ = 1011087360000.

The previous prime is 4593972239959. The next prime is 4593972240007. The reversal of 4593972240000 is 422793954.

It is a super-2 number, since 2×4593972240000² (a number of 26 digits) contains 22 as substring.

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 (4593972240007) 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 319 ways as a sum of consecutive naturals, for example, 33050159931 + ... + 33050160069.

It is an arithmetic number, because the mean of its divisors is an integer number (7904461950).

Almost surely, 2^{4593972240000} is an apocalyptic number.

4593972240000 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 4593972240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10117711296000).

4593972240000 is an abundant number, since it is smaller than the sum of its proper divisors (15641450352000).

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

4593972240000 is a wasteful number, since it uses less digits than its factorization.

4593972240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 4593972240000 in words is "four trillion, five hundred ninety-three billion, nine hundred seventy-two million, two hundred forty thousand".