4093897200 has 120 divisors (see below), whose sum is σ = 13537276416. Its totient is φ = 1056480000.

The previous prime is 4093897141. The next prime is 4093897217. The reversal of 4093897200 is 27983904.

4093897200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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, 17826 + ... + 92225.

Almost surely, 2^4093897200 is an apocalyptic number.

4093897200 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 4093897200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768638208).

4093897200 is an abundant number, since it is smaller than the sum of its proper divisors (9443379216).

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

4093897200 is a wasteful number, since it uses less digits than its factorization.

4093897200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110103 (or 110092 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 4093897200 is about 63983.5697659954. The cubic root of 4093897200 is about 1599.7261510486.

The spelling of 4093897200 in words is "four billion, ninety-three million, eight hundred ninety-seven thousand, two hundred".