4097808800 has 72 divisors (see below), whose sum is σ = 10438769376. Its totient is φ = 1567850240.

The previous prime is 4097808769. The next prime is 4097808839. The reversal of 4097808800 is 88087904.

It is a happy number.

It is a super-2 number, since 2×4097808800² = 33584073922714880000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 92954 + ... + 129753.

It is an arithmetic number, because the mean of its divisors is an integer number (144982908).

Almost surely, 2^4097808800 is an apocalyptic number.

4097808800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4097808800 is an abundant number, since it is smaller than the sum of its proper divisors (6340960576).

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

4097808800 is a wasteful number, since it uses less digits than its factorization.

4097808800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222750 (or 222737 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 44.

The square root of 4097808800 is about 64014.1296902489. The cubic root of 4097808800 is about 1600.2354861730.

The spelling of 4097808800 in words is "four billion, ninety-seven million, eight hundred eight thousand, eight hundred".