4455628800 has 576 divisors, whose sum is σ = 17601652440. Its totient is φ = 990904320.

The previous prime is 4455628777. The next prime is 4455628873. The reversal of 4455628800 is 88265544.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 120422382 + ... + 120422418.

Almost surely, 2^4455628800 is an apocalyptic number.

4455628800 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 4455628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8800826220).

4455628800 is an abundant number, since it is smaller than the sum of its proper divisors (13146023640).

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

4455628800 is an equidigital number, since it uses as much as digits as its factorization.

4455628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 4455628800 is about 66750.4966273660. The cubic root of 4455628800 is about 1645.5193772699.

The spelling of 4455628800 in words is "four billion, four hundred fifty-five million, six hundred twenty-eight thousand, eight hundred".