4134251600 has 120 divisors (see below), whose sum is σ = 10495042560. Its totient is φ = 1562498560.

The previous prime is 4134251531. The next prime is 4134251617. The reversal of 4134251600 is 61524314.

It is a self number, because there is not a number n which added to its sum of digits gives 4134251600.

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 23 ways as a sum of consecutive naturals, for example, 541409 + ... + 548991.

It is an arithmetic number, because the mean of its divisors is an integer number (87458688).

Almost surely, 2^4134251600 is an apocalyptic number.

4134251600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134251600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5247521280).

4134251600 is an abundant number, since it is smaller than the sum of its proper divisors (6360790960).

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

4134251600 is a wasteful number, since it uses less digits than its factorization.

4134251600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7677 (or 7666 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 4134251600 is about 64298.1461630116. The cubic root of 4134251600 is about 1604.9652525611.

Adding to 4134251600 its reverse (61524314), we get a palindrome (4195775914).

The spelling of 4134251600 in words is "four billion, one hundred thirty-four million, two hundred fifty-one thousand, six hundred".