4034144007 has 20 divisors (see below), whose sum is σ = 6045605280. Its totient is φ = 2680820064.

The previous prime is 4034143963. The next prime is 4034144039. The reversal of 4034144007 is 7004414304.

It is not a de Polignac number, because 4034144007 - 2¹² = 4034139911 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4034144407) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54207 + ... + 104912.

It is an arithmetic number, because the mean of its divisors is an integer number (302280264).

Almost surely, 2^4034144007 is an apocalyptic number.

4034144007 is a deficient number, since it is larger than the sum of its proper divisors (2011461273).

4034144007 is a wasteful number, since it uses less digits than its factorization.

4034144007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159444 (or 159435 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4034144007 is about 63514.9116900905. The cubic root of 4034144007 is about 1591.9049471406.

It can be divided in two parts, 40341 and 44007, that added together give a palindrome (84348).

The spelling of 4034144007 in words is "four billion, thirty-four million, one hundred forty-four thousand, seven".