4501459872000 has 1728 divisors, whose sum is σ = 20814294009600. Its totient is φ = 949642444800.

The previous prime is 4501459871983. The next prime is 4501459872017. The reversal of 4501459872000 is 2789541054.

4501459872000 is a `hidden beast` number, since 4 + 50 + 1 + 4 + 598 + 7 + 2 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4501459871983) and next prime (4501459872017).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 550363911 + ... + 550372089.

Almost surely, 2^{4501459872000} is an apocalyptic number.

4501459872000 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 4501459872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10407147004800).

4501459872000 is an abundant number, since it is smaller than the sum of its proper divisors (16312834137600).

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

4501459872000 is a wasteful number, since it uses less digits than its factorization.

4501459872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8246 (or 8209 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 4501459872000 in words is "four trillion, five hundred one billion, four hundred fifty-nine million, eight hundred seventy-two thousand".