8375414400 has 432 divisors, whose sum is σ = 30809152530. Its totient is φ = 2166374400.

The previous prime is 8375414371. The next prime is 8375414401. The reversal of 8375414400 is 44145738.

It can be written as a sum of positive squares in 9 ways, for example, as 44836416 + 8330577984 = 6696^2 + 91272^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8375414401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 48412714 + ... + 48412886.

Almost surely, 2^8375414400 is an apocalyptic number.

8375414400 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 8375414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15404576265).

8375414400 is an abundant number, since it is smaller than the sum of its proper divisors (22433738130).

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

8375414400 is a wasteful number, since it uses less digits than its factorization.

8375414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 8375414400 is about 91517.2901696723. The cubic root of 8375414400 is about 2030.8075443079.

The spelling of 8375414400 in words is "eight billion, three hundred seventy-five million, four hundred fourteen thousand, four hundred".