4034411040 has 144 divisors (see below), whose sum is σ = 13968932544. Its totient is φ = 978024960.

The previous prime is 4034410997. The next prime is 4034411041. The reversal of 4034411040 is 401144304.

It is a junction number, because it is equal to n+sod(n) for n = 4034410998 and 4034411016.

It is not an unprimeable number, because it can be changed into a prime (4034411041) 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 23 ways as a sum of consecutive naturals, for example, 23349 + ... + 92811.

It is an arithmetic number, because the mean of its divisors is an integer number (97006476).

Almost surely, 2^4034411040 is an apocalyptic number.

4034411040 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 4034411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6984466272).

4034411040 is an abundant number, since it is smaller than the sum of its proper divisors (9934521504).

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

4034411040 is a wasteful number, since it uses less digits than its factorization.

4034411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69503 (or 69484 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4034411040 is about 63517.0137837100. The cubic root of 4034411040 is about 1591.9400708062.

Adding to 4034411040 its reverse (401144304), we get a palindrome (4435555344).

The spelling of 4034411040 in words is "four billion, thirty-four million, four hundred eleven thousand, forty".