8229324942400 has 189 divisors, whose sum is σ = 20980095098781. Its totient is φ = 3176936878080.

The previous prime is 8229324942373. The next prime is 8229324942437. The reversal of 8229324942400 is 42494239228.

The square root of 8229324942400 is 2868680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 2986177539136 + 5243147403264 = 1728056^2 + 2289792^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3327667564 + ... + 3327670036.

Almost surely, 2^{8229324942400} is an apocalyptic number.

8229324942400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8229324942400 is the 2868680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8229324942400

8229324942400 is an abundant number, since it is smaller than the sum of its proper divisors (12750770156381).

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

8229324942400 is an frugal number, since it uses more digits than its factorization.

8229324942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5026 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 49.

Multiplying 8229324942400 by its sum of digits (49), we get a square (403236922177600 = 20080760²).

The spelling of 8229324942400 in words is "eight trillion, two hundred twenty-nine billion, three hundred twenty-four million, nine hundred forty-two thousand, four hundred".