4134022400 has 54 divisors (see below), whose sum is σ = 10232367222. Its totient is φ = 1653606400.

The previous prime is 4134022393. The next prime is 4134022427. The reversal of 4134022400 is 42204314.

It can be written as a sum of positive squares in 3 ways, for example, as 25725184 + 4108297216 = 5072^2 + 64096^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 5 ways as a sum of consecutive naturals, for example, 316571 + ... + 329370.

Almost surely, 2^4134022400 is an apocalyptic number.

4134022400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4134022400 is an abundant number, since it is smaller than the sum of its proper divisors (6098344822).

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

4134022400 is an equidigital number, since it uses as much as digits as its factorization.

4134022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645967 (or 645948 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4134022400 is about 64296.3638163155. The cubic root of 4134022400 is about 1604.9355926316.

Adding to 4134022400 its reverse (42204314), we get a palindrome (4176226714).

The spelling of 4134022400 in words is "four billion, one hundred thirty-four million, twenty-two thousand, four hundred".