4477228880000 has 120 divisors (see below), whose sum is σ = 11147271547665. Its totient is φ = 1790652160000.

The previous prime is 4477228879973. The next prime is 4477228880017. The reversal of 4477228880000 is 888227744.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 74651354176 + 4402577525824 = 273224^2 + 2098232^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1496200.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 598476260 + ... + 598483740.

Almost surely, 2^{4477228880000} is an apocalyptic number.

4477228880000 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 4477228880000

4477228880000 is an abundant number, since it is smaller than the sum of its proper divisors (6670042667665).

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

4477228880000 is an frugal number, since it uses more digits than its factorization.

4477228880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14996 (or 7488 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 50.

Multiplying 4477228880000 by its sum of digits (50), we get a square (223861444000000 = 14962000²).

4477228880000 divided by its sum of digits (50) gives a square (89544577600 = 299240²).

The spelling of 4477228880000 in words is "four trillion, four hundred seventy-seven billion, two hundred twenty-eight million, eight hundred eighty thousand".