4509288000000 has 1680 divisors, whose sum is σ = 19449538542720. Its totient is φ = 983347200000.

The previous prime is 4509287999999. The next prime is 4509288000001. The reversal of 4509288000000 is 8829054.

It is an interprime number because it is at equal distance from previous prime (4509287999999) and next prime (4509288000001).

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is not an unprimeable number, because it can be changed into a prime (4509288000001) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 11591999806 + ... + 11592000194.

Almost surely, 2^{4509288000000} is an apocalyptic number.

4509288000000 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 4509288000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9724769271360).

4509288000000 is an abundant number, since it is smaller than the sum of its proper divisors (14940250542720).

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

4509288000000 is an frugal number, since it uses more digits than its factorization.

4509288000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 4509288000000 in words is "four trillion, five hundred nine billion, two hundred eighty-eight million", and thus it is an aban number.