4427105894400 has 816 divisors, whose sum is σ = 16834264315904. Its totient is φ = 1005626327040.

The previous prime is 4427105894399. The next prime is 4427105894459. The reversal of 4427105894400 is 44985017244.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4427105894400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7672626912 + ... + 7672627488.

Almost surely, 2^{4427105894400} is an apocalyptic number.

4427105894400 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 4427105894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8417132157952).

4427105894400 is an abundant number, since it is smaller than the sum of its proper divisors (12407158421504).

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

4427105894400 is an equidigital number, since it uses as much as digits as its factorization.

4427105894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 4427105894400 in words is "four trillion, four hundred twenty-seven billion, one hundred five million, eight hundred ninety-four thousand, four hundred".