4532490558288 has 1440 divisors, whose sum is σ = 18205204792320. Its totient is φ = 1035030528000.

The previous prime is 4532490558209. The next prime is 4532490558329. The reversal of 4532490558288 is 8828550942354.

It is a happy number.

4532490558288 is a `hidden beast` number, since 4 + 5 + 3 + 2 + 49 + 0 + 5 + 582 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 1186203418 + ... + 1186207238.

It is an arithmetic number, because the mean of its divisors is an integer number (12642503328).

Almost surely, 2^{4532490558288} is an apocalyptic number.

4532490558288 is a gapful number since it is divisible by the number (48) 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 4532490558288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9102602396160).

4532490558288 is an abundant number, since it is smaller than the sum of its proper divisors (13672714234032).

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

4532490558288 is a wasteful number, since it uses less digits than its factorization.

4532490558288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 63.

The spelling of 4532490558288 in words is "four trillion, five hundred thirty-two billion, four hundred ninety million, five hundred fifty-eight thousand, two hundred eighty-eight".