8114324400 has 1440 divisors, whose sum is σ = 38685523968. Its totient is φ = 1526169600.

The previous prime is 8114324363. The next prime is 8114324411. The reversal of 8114324400 is 44234118.

8114324400 is a `hidden beast` number, since 81 + 143 + 2 + 440 + 0 = 666.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 172645177 + ... + 172645223.

Almost surely, 2^8114324400 is an apocalyptic number.

8114324400 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 8114324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19342761984).

8114324400 is an abundant number, since it is smaller than the sum of its proper divisors (30571199568).

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

8114324400 is a wasteful number, since it uses less digits than its factorization.

8114324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8114324400 is about 90079.5448478732. The cubic root of 8114324400 is about 2009.4820080522.

Adding to 8114324400 its reverse (44234118), we get a palindrome (8158558518).

The spelling of 8114324400 in words is "eight billion, one hundred fourteen million, three hundred twenty-four thousand, four hundred".