8126438400 has 330 divisors, whose sum is σ = 30098924240. Its totient is φ = 2166497280.

The previous prime is 8126438399. The next prime is 8126438417. The reversal of 8126438400 is 48346218.

8126438400 is a `hidden beast` number, since 8 + 1 + 2 + 643 + 8 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2071641 + ... + 2075559.

Almost surely, 2^8126438400 is an apocalyptic number.

8126438400 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 8126438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15049462120).

8126438400 is an abundant number, since it is smaller than the sum of its proper divisors (21972485840).

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

8126438400 is a wasteful number, since it uses less digits than its factorization.

8126438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8126438400 is about 90146.7603411237. The cubic root of 8126438400 is about 2010.4815063854.

The spelling of 8126438400 in words is "eight billion, one hundred twenty-six million, four hundred thirty-eight thousand, four hundred".