4144634000 has 160 divisors (see below), whose sum is σ = 11428706016. Its totient is φ = 1440153600.

The previous prime is 4144633981. The next prime is 4144634047. The reversal of 4144634000 is 4364414.

It can be written as a sum of positive squares in 16 ways, for example, as 3780282256 + 364351744 = 61484^2 + 19088^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 437312 + ... + 446688.

Almost surely, 2^4144634000 is an apocalyptic number.

4144634000 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 4144634000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5714353008).

4144634000 is an abundant number, since it is smaller than the sum of its proper divisors (7284072016).

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

4144634000 is a wasteful number, since it uses less digits than its factorization.

4144634000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9430 (or 9414 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 4144634000 is about 64378.8319247872. The cubic root of 4144634000 is about 1606.3076528535.

Adding to 4144634000 its reverse (4364414), we get a palindrome (4148998414).

The spelling of 4144634000 in words is "four billion, one hundred forty-four million, six hundred thirty-four thousand".