4134234400 has 72 divisors (see below), whose sum is σ = 10418333184. Its totient is φ = 1600339200.

The previous prime is 4134234367. The next prime is 4134234407. The reversal of 4134234400 is 44324314.

4134234400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (4134234407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58552 + ... + 108151.

It is an arithmetic number, because the mean of its divisors is an integer number (144699072).

Almost surely, 2^4134234400 is an apocalyptic number.

4134234400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4134234400 is an abundant number, since it is smaller than the sum of its proper divisors (6284098784).

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

4134234400 is a wasteful number, since it uses less digits than its factorization.

4134234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166754 (or 166741 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 4134234400 is about 64298.0124109603. The cubic root of 4134234400 is about 1604.9630268104.

Adding to 4134234400 its reverse (44324314), we get a palindrome (4178558714).

The spelling of 4134234400 in words is "four billion, one hundred thirty-four million, two hundred thirty-four thousand, four hundred".