4134504400 has 60 divisors (see below), whose sum is σ = 10697248492. Its totient is φ = 1526584320.

The previous prime is 4134504377. The next prime is 4134504433. The reversal of 4134504400 is 44054314.

It can be written as a sum of positive squares in 6 ways, for example, as 1072431504 + 3062072896 = 32748^2 + 55336^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 392349 + ... + 402748.

Almost surely, 2^4134504400 is an apocalyptic number.

4134504400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4134504400 is an abundant number, since it is smaller than the sum of its proper divisors (6562744092).

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

4134504400 is a wasteful number, since it uses less digits than its factorization.

4134504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795128 (or 795117 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 4134504400 is about 64300.1119750191. Note that the first 3 decimals coincide. The cubic root of 4134504400 is about 1604.9979652087.

Adding to 4134504400 its reverse (44054314), we get a palindrome (4178558714).

The spelling of 4134504400 in words is "four billion, one hundred thirty-four million, five hundred four thousand, four hundred".