4134150400 has 108 divisors (see below), whose sum is σ = 10312871184. Its totient is φ = 1640704000.

The previous prime is 4134150331. The next prime is 4134150401. The reversal of 4134150400 is 40514314.

It is not an unprimeable number, because it can be changed into a prime (4134150401) 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, 835935 + ... + 840865.

It is an arithmetic number, because the mean of its divisors is an integer number (95489548).

Almost surely, 2^4134150400 is an apocalyptic number.

4134150400 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 4134150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5156435592).

4134150400 is an abundant number, since it is smaller than the sum of its proper divisors (6178720784).

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

4134150400 is a wasteful number, since it uses less digits than its factorization.

4134150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5088 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 4134150400 is about 64297.3591992704. The cubic root of 4134150400 is about 1604.9521567763.

Adding to 4134150400 its reverse (40514314), we get a palindrome (4174664714).

The spelling of 4134150400 in words is "four billion, one hundred thirty-four million, one hundred fifty thousand, four hundred".