4034040400 has 60 divisors (see below), whose sum is σ = 10437317212. Its totient is φ = 1489489920.

The previous prime is 4034040397. The next prime is 4034040427. The reversal of 4034040400 is 40404304.

It can be written as a sum of positive squares in 6 ways, for example, as 266256 + 4033774144 = 516^2 + 63512^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 382689 + ... + 393088.

Almost surely, 2^4034040400 is an apocalyptic number.

4034040400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4034040400 is an abundant number, since it is smaller than the sum of its proper divisors (6403276812).

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

4034040400 is a wasteful number, since it uses less digits than its factorization.

4034040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775808 (or 775797 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 4034040400 is about 63514.0960732340. The cubic root of 4034040400 is about 1591.8913189783.

Adding to 4034040400 its reverse (40404304), we get a palindrome (4074444704).

The spelling of 4034040400 in words is "four billion, thirty-four million, forty thousand, four hundred".