4134400 has 120 divisors (see below), whose sum is σ = 11416680. Its totient is φ = 1474560.

The previous prime is 4134391. The next prime is 4134409. The reversal of 4134400 is 44314.

It is an interprime number because it is at equal distance from previous prime (4134391) and next prime (4134409).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134409) 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, 217591 + ... + 217609.

It is an arithmetic number, because the mean of its divisors is an integer number (95139).

Almost surely, 2^4134400 is an apocalyptic number.

4134400 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 4134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5708340).

4134400 is an abundant number, since it is smaller than the sum of its proper divisors (7282280).

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

4134400 is a wasteful number, since it uses less digits than its factorization.

4134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4134400 is about 2033.3224043422. The cubic root of 4134400 is about 160.4984455875.

Adding to 4134400 its reverse (44314), we get a palindrome (4178714).

The spelling of 4134400 in words is "four million, one hundred thirty-four thousand, four hundred".