4144463040 has 112 divisors (see below), whose sum is σ = 13181880672. Its totient is φ = 1103241216.

The previous prime is 4144463039. The next prime is 4144463041. The reversal of 4144463040 is 403644414.

It is an interprime number because it is at equal distance from previous prime (4144463039) and next prime (4144463041).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4144462989 and 4144463007.

It is not an unprimeable number, because it can be changed into a prime (4144463041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 588822 + ... + 595818.

Almost surely, 2^4144463040 is an apocalyptic number.

4144463040 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 4144463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6590940336).

4144463040 is an abundant number, since it is smaller than the sum of its proper divisors (9037417632).

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

4144463040 is a wasteful number, since it uses less digits than its factorization.

4144463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7634 (or 7624 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 4144463040 is about 64377.5041454699. The cubic root of 4144463040 is about 1606.2855666144.

The spelling of 4144463040 in words is "four billion, one hundred forty-four million, four hundred sixty-three thousand, forty".