4134044040 has 128 divisors (see below), whose sum is σ = 14557052160. Its totient is φ = 919378944.

The previous prime is 4134044039. The next prime is 4134044053. The reversal of 4134044040 is 404404314.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4134044040.

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, 35427 + ... + 97586.

It is an arithmetic number, because the mean of its divisors is an integer number (113726970).

Almost surely, 2^4134044040 is an apocalyptic number.

4134044040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4134044040 is an abundant number, since it is smaller than the sum of its proper divisors (10423008120).

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

4134044040 is a wasteful number, since it uses less digits than its factorization.

4134044040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133071 (or 133067 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4134044040 is about 64296.5320993287. The cubic root of 4134044040 is about 1604.9383930313.

Adding to 4134044040 its reverse (404404314), we get a palindrome (4538448354).

The spelling of 4134044040 in words is "four billion, one hundred thirty-four million, forty-four thousand, forty".