8109542400 has 264 divisors, whose sum is σ = 27973876224. Its totient is φ = 2068070400.

The previous prime is 8109542381. The next prime is 8109542401. The reversal of 8109542400 is 42459018.

It is not an unprimeable number, because it can be changed into a prime (8109542401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1764105 + ... + 1768695.

Almost surely, 2^8109542400 is an apocalyptic number.

8109542400 is a gapful number since it is divisible by the number (80) 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 8109542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13986938112).

8109542400 is an abundant number, since it is smaller than the sum of its proper divisors (19864333824).

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

8109542400 is a wasteful number, since it uses less digits than its factorization.

8109542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4647 (or 4624 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 8109542400 is about 90052.9977291150. The cubic root of 8109542400 is about 2009.0871823591.

The spelling of 8109542400 in words is "eight billion, one hundred nine million, five hundred forty-two thousand, four hundred".