8296440422400 has 3360 divisors, whose sum is σ = 36670998405888. Its totient is φ = 1834588569600.

The previous prime is 8296440422399. The next prime is 8296440422423. The reversal of 8296440422400 is 42240446928.

8296440422400 is a `hidden beast` number, since 82 + 96 + 4 + 40 + 42 + 2 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 113649868764 + ... + 113649868836.

Almost surely, 2^{8296440422400} is an apocalyptic number.

8296440422400 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 8296440422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18335499202944).

8296440422400 is an abundant number, since it is smaller than the sum of its proper divisors (28374557983488).

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

8296440422400 is a wasteful number, since it uses less digits than its factorization.

8296440422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 8296440422400 in words is "eight trillion, two hundred ninety-six billion, four hundred forty million, four hundred twenty-two thousand, four hundred".