4567891200000 has 288 divisors, whose sum is σ = 15221676375360. Its totient is φ = 1218099200000.

The previous prime is 4567891199981. The next prime is 4567891200011. The reversal of 4567891200000 is 21987654.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19081045 + ... + 19318955.

It is an arithmetic number, because the mean of its divisors is an integer number (52853042970).

Almost surely, 2^{4567891200000} is an apocalyptic number.

4567891200000 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 4567891200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7610838187680).

4567891200000 is an abundant number, since it is smaller than the sum of its proper divisors (10653785175360).

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

4567891200000 is an frugal number, since it uses more digits than its factorization.

4567891200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237961 (or 237921 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 4567891200000 in words is "four trillion, five hundred sixty-seven billion, eight hundred ninety-one million, two hundred thousand".