4538346730800 has 480 divisors, whose sum is σ = 15721440906240. Its totient is φ = 1114837401600.

The previous prime is 4538346730789. The next prime is 4538346730831. The reversal of 4538346730800 is 80376438354.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 95 ways as a sum of consecutive naturals, for example, 465992331 + ... + 466002069.

It is an arithmetic number, because the mean of its divisors is an integer number (32753001888).

Almost surely, 2^{4538346730800} is an apocalyptic number.

4538346730800 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 4538346730800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7860720453120).

4538346730800 is an abundant number, since it is smaller than the sum of its proper divisors (11183094175440).

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

4538346730800 is a wasteful number, since it uses less digits than its factorization.

4538346730800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10261 (or 10250 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 4538346730800 in words is "four trillion, five hundred thirty-eight billion, three hundred forty-six million, seven hundred thirty thousand, eight hundred".