4093315200 has 648 divisors, whose sum is σ = 16380021645. Its totient is φ = 972840960.

The previous prime is 4093315189. The next prime is 4093315201. The reversal of 4093315200 is 25133904.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 968952384 + 3124362816 = 31128^2 + 55896^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=45240.

It is not an unprimeable number, because it can be changed into a prime (4093315201) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 141148786 + ... + 141148814.

Almost surely, 2^4093315200 is an apocalyptic number.

4093315200 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 4093315200

4093315200 is an abundant number, since it is smaller than the sum of its proper divisors (12286706445).

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

4093315200 is a wasteful number, since it uses less digits than its factorization.

4093315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 4093315200 is about 63979.0215617588. The cubic root of 4093315200 is about 1599.6503402585.

The spelling of 4093315200 in words is "four billion, ninety-three million, three hundred fifteen thousand, two hundred".