4426948800 has 504 divisors, whose sum is σ = 16666171392. Its totient is φ = 1112832000.

The previous prime is 4426948793. The next prime is 4426948807. The reversal of 4426948800 is 88496244.

It is an interprime number because it is at equal distance from previous prime (4426948793) and next prime (4426948807).

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

It is not an unprimeable number, because it can be changed into a prime (4426948807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20980695 + ... + 20980905.

Almost surely, 2^4426948800 is an apocalyptic number.

4426948800 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 4426948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8333085696).

4426948800 is an abundant number, since it is smaller than the sum of its proper divisors (12239222592).

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

4426948800 is a wasteful number, since it uses less digits than its factorization.

4426948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 4426948800 is about 66535.3199436209. The cubic root of 4426948800 is about 1641.9811473201.

The spelling of 4426948800 in words is "four billion, four hundred twenty-six million, nine hundred forty-eight thousand, eight hundred".