4000132800 has 126 divisors (see below), whose sum is σ = 14217467628. Its totient is φ = 1066698240.

The previous prime is 4000132781. The next prime is 4000132811. The reversal of 4000132800 is 82310004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 124494 + ... + 153293.

Almost surely, 2^4000132800 is an apocalyptic number.

4000132800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000132800 is an abundant number, since it is smaller than the sum of its proper divisors (10217334828).

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

4000132800 is a wasteful number, since it uses less digits than its factorization.

4000132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277815 (or 277797 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4000132800 is about 63246.6030708369. The cubic root of 4000132800 is about 1587.4186190121.

Adding to 4000132800 its reverse (82310004), we get a palindrome (4082442804).

The spelling of 4000132800 in words is "four billion, one hundred thirty-two thousand, eight hundred".