8486242438400 has 432 divisors, whose sum is σ = 22365996609600. Its totient is φ = 3182736506880.

The previous prime is 8486242438393. The next prime is 8486242438559. The reversal of 8486242438400 is 48342426848.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 908878532 + ... + 908887868.

It is an arithmetic number, because the mean of its divisors is an integer number (51773140300).

Almost surely, 2^{8486242438400} is an apocalyptic number.

8486242438400 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 8486242438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11182998304800).

8486242438400 is an abundant number, since it is smaller than the sum of its proper divisors (13879754171200).

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

8486242438400 is a wasteful number, since it uses less digits than its factorization.

8486242438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9534 (or 9515 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 53.

The spelling of 8486242438400 in words is "eight trillion, four hundred eighty-six billion, two hundred forty-two million, four hundred thirty-eight thousand, four hundred".