4590005080320 has 2304 divisors, whose sum is σ = 19134006312960. Its totient is φ = 1031690649600.

The previous prime is 4590005080313. The next prime is 4590005080333. The reversal of 4590005080320 is 230805000954.

4590005080320 is a `hidden beast` number, since 45 + 90 + 0 + 0 + 508 + 0 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 35038206655 + ... + 35038206785.

It is an arithmetic number, because the mean of its divisors is an integer number (8304690240).

Almost surely, 2^{4590005080320} is an apocalyptic number.

4590005080320 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 4590005080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9567003156480).

4590005080320 is an abundant number, since it is smaller than the sum of its proper divisors (14544001232640).

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

4590005080320 is a wasteful number, since it uses less digits than its factorization.

4590005080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 4590005080320 in words is "four trillion, five hundred ninety billion, five million, eighty thousand, three hundred twenty".