4054421120 has 256 divisors, whose sum is σ = 10757124000. Its totient is φ = 1454899200.

The previous prime is 4054421093. The next prime is 4054421141. The reversal of 4054421120 is 211244504.

It can be written as a sum of positive squares in 16 ways, for example, as 432307264 + 3622113856 = 20792^2 + 60184^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27210806 + ... + 27210954.

Almost surely, 2^4054421120 is an apocalyptic number.

4054421120 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 4054421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5378562000).

4054421120 is an abundant number, since it is smaller than the sum of its proper divisors (6702702880).

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

4054421120 is a wasteful number, since it uses less digits than its factorization.

4054421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 4054421120 is about 63674.3364315640. The cubic root of 4054421120 is about 1594.5676602601.

Adding to 4054421120 its reverse (211244504), we get a palindrome (4265665624).

The spelling of 4054421120 in words is "four billion, fifty-four million, four hundred twenty-one thousand, one hundred twenty".