4221055040 has 56 divisors (see below), whose sum is σ = 10069247832. Its totient is φ = 1685422080.

The previous prime is 4221055031. The next prime is 4221055043. The reversal of 4221055040 is 405501224.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2750792704 + 1470262336 = 52448^2 + 38344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4221054997 and 4221055015.

It is not an unprimeable number, because it can be changed into a prime (4221055043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173210 + ... + 196070.

It is an arithmetic number, because the mean of its divisors is an integer number (179807997).

Almost surely, 2^4221055040 is an apocalyptic number.

4221055040 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 4221055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5034623916).

4221055040 is an abundant number, since it is smaller than the sum of its proper divisors (5848192792).

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

4221055040 is a wasteful number, since it uses less digits than its factorization.

4221055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23455 (or 23445 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 4221055040 is about 64969.6470669189. The cubic root of 4221055040 is about 1616.1202488697.

Adding to 4221055040 its reverse (405501224), we get a palindrome (4626556264).

The spelling of 4221055040 in words is "four billion, two hundred twenty-one million, fifty-five thousand, forty".