4120396800 has 264 divisors, whose sum is σ = 14669227776. Its totient is φ = 1014005760.

The previous prime is 4120396789. The next prime is 4120396853. The reversal of 4120396800 is 86930214.

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 23 ways as a sum of consecutive naturals, for example, 996337 + ... + 1000463.

Almost surely, 2^4120396800 is an apocalyptic number.

4120396800 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 4120396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7334613888).

4120396800 is an abundant number, since it is smaller than the sum of its proper divisors (10548830976).

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

4120396800 is a wasteful number, since it uses less digits than its factorization.

4120396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4173 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 4120396800 is about 64190.3170267915. The cubic root of 4120396800 is about 1603.1703804473.

The spelling of 4120396800 in words is "four billion, one hundred twenty million, three hundred ninety-six thousand, eight hundred".