4457980800000 has 3168 divisors, whose sum is σ = 20927956150080. Its totient is φ = 940584960000.

The previous prime is 4457980799989. The next prime is 4457980800017. The reversal of 4457980800000 is 80897544.

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

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 287 ways as a sum of consecutive naturals, for example, 342921599994 + ... + 342921600006.

Almost surely, 2^{4457980800000} is an apocalyptic number.

4457980800000 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 4457980800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10463978075040).

4457980800000 is an abundant number, since it is smaller than the sum of its proper divisors (16469975350080).

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

4457980800000 is an frugal number, since it uses more digits than its factorization.

4457980800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 4457980800000 in words is "four trillion, four hundred fifty-seven billion, nine hundred eighty million, eight hundred thousand".