4005134400 has 168 divisors, whose sum is σ = 13269390784. Its totient is φ = 1057536000.

The previous prime is 4005134387. The next prime is 4005134411. The reversal of 4005134400 is 44315004.

It is a super-2 number, since 2×4005134400² = 32082203124126720000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 490350 + ... + 498450.

Almost surely, 2^4005134400 is an apocalyptic number.

4005134400 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 4005134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6634695392).

4005134400 is an abundant number, since it is smaller than the sum of its proper divisors (9264256384).

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

4005134400 is a wasteful number, since it uses less digits than its factorization.

4005134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8229 (or 8214 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 4005134400 is about 63286.1311821160. The cubic root of 4005134400 is about 1588.0799575667.

Adding to 4005134400 its reverse (44315004), we get a palindrome (4049449404).

The spelling of 4005134400 in words is "four billion, five million, one hundred thirty-four thousand, four hundred".