4134450400 has 72 divisors (see below), whose sum is σ = 10197472320. Its totient is φ = 1636700160.

The previous prime is 4134450391. The next prime is 4134450401. The reversal of 4134450400 is 40544314.

It is a super-2 number, since 2×4134450400² = 34187360220120320000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134450401) 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, 50961 + ... + 104239.

It is an arithmetic number, because the mean of its divisors is an integer number (141631560).

Almost surely, 2^4134450400 is an apocalyptic number.

4134450400 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 4134450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5098736160).

4134450400 is an abundant number, since it is smaller than the sum of its proper divisors (6063021920).

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

4134450400 is a wasteful number, since it uses less digits than its factorization.

4134450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53396 (or 53383 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 4134450400 is about 64299.6920676919. The cubic root of 4134450400 is about 1604.9909776507.

Adding to 4134450400 its reverse (40544314), we get a palindrome (4174994714).

The spelling of 4134450400 in words is "four billion, one hundred thirty-four million, four hundred fifty thousand, four hundred".