4041288800 has 36 divisors (see below), whose sum is σ = 9865798236. Its totient is φ = 1616515200.

The previous prime is 4041288799. The next prime is 4041288803. The reversal of 4041288800 is 88821404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4041288803) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 2525006 + ... + 2526605.

It is an arithmetic number, because the mean of its divisors is an integer number (274049951).

Almost surely, 2^4041288800 is an apocalyptic number.

4041288800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4041288800 is an abundant number, since it is smaller than the sum of its proper divisors (5824509436).

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

4041288800 is a wasteful number, since it uses less digits than its factorization.

4041288800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5051631 (or 5051618 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 35.

The square root of 4041288800 is about 63571.1318131115. The cubic root of 4041288800 is about 1592.8441900338.

The spelling of 4041288800 in words is "four billion, forty-one million, two hundred eighty-eight thousand, eight hundred".