4165396800 has 168 divisors, whose sum is σ = 13775594496. Its totient is φ = 1101864960.

The previous prime is 4165396793. The next prime is 4165396861. The reversal of 4165396800 is 86935614.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 606184 + ... + 613016.

Almost surely, 2^4165396800 is an apocalyptic number.

4165396800 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 4165396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6887797248).

4165396800 is an abundant number, since it is smaller than the sum of its proper divisors (9610197696).

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

4165396800 is a wasteful number, since it uses less digits than its factorization.

4165396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6985 (or 6970 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 4165396800 is about 64539.8853423215. The cubic root of 4165396800 is about 1608.9854853613.

The spelling of 4165396800 in words is "four billion, one hundred sixty-five million, three hundred ninety-six thousand, eight hundred".