4088012800 has 84 divisors (see below), whose sum is σ = 10138160826. Its totient is φ = 1635123200.

The previous prime is 4088012791. The next prime is 4088012837. The reversal of 4088012800 is 82108804.

It can be written as a sum of positive squares in 3 ways, for example, as 3782742016 + 305270784 = 61504^2 + 17472^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 194820 + ... + 214780.

Almost surely, 2^4088012800 is an apocalyptic number.

4088012800 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 4088012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5069080413).

4088012800 is an abundant number, since it is smaller than the sum of its proper divisors (6050148026).

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

4088012800 is an equidigital number, since it uses as much as digits as its factorization.

4088012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19997 (or 19968 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 4088012800 is about 63937.5695503043. The cubic root of 4088012800 is about 1598.9593232667.

The spelling of 4088012800 in words is "four billion, eighty-eight million, twelve thousand, eight hundred".