4144554304 has 56 divisors (see below), whose sum is σ = 9499811328. Its totient is φ = 1773066240.

The previous prime is 4144554301. The next prime is 4144554307. The reversal of 4144554304 is 4034554414.

It is an interprime number because it is at equal distance from previous prime (4144554301) and next prime (4144554307).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 4144554304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144554301) 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, 161184 + ... + 185119.

It is an arithmetic number, because the mean of its divisors is an integer number (169639488).

Almost surely, 2^4144554304 is an apocalyptic number.

4144554304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4144554304 is an abundant number, since it is smaller than the sum of its proper divisors (5355257024).

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

4144554304 is a wasteful number, since it uses less digits than its factorization.

4144554304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346343 (or 346333 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

The square root of 4144554304 is about 64378.2129605972. The cubic root of 4144554304 is about 1606.2973570417.

The spelling of 4144554304 in words is "four billion, one hundred forty-four million, five hundred fifty-four thousand, three hundred four".