4134616400 has 30 divisors (see below), whose sum is σ = 9933416862. Its totient is φ = 1653846400.

The previous prime is 4134616397. The next prime is 4134616411. The reversal of 4134616400 is 46164314.

It can be written as a sum of positive squares in 3 ways, for example, as 1183084816 + 2951531584 = 34396^2 + 54328^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5167871 + ... + 5168670.

Almost surely, 2^4134616400 is an apocalyptic number.

4134616400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4134616400 is an abundant number, since it is smaller than the sum of its proper divisors (5798800462).

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

4134616400 is a wasteful number, since it uses less digits than its factorization.

4134616400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10336559 (or 10336548 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 4134616400 is about 64300.9828851784. The cubic root of 4134616400 is about 1605.0124577275.

The spelling of 4134616400 in words is "four billion, one hundred thirty-four million, six hundred sixteen thousand, four hundred".