8027244482400 has 1152 divisors, whose sum is σ = 35208026542080. Its totient is φ = 1738340352000.

The previous prime is 8027244482377. The next prime is 8027244482461. The reversal of 8027244482400 is 42844427208.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95710884 + ... + 95794716.

It is an arithmetic number, because the mean of its divisors is an integer number (30562523040).

Almost surely, 2^{8027244482400} is an apocalyptic number.

8027244482400 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 8027244482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17604013271040).

8027244482400 is an abundant number, since it is smaller than the sum of its proper divisors (27180782059680).

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

8027244482400 is a wasteful number, since it uses less digits than its factorization.

8027244482400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83917 (or 83898 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 45.

The spelling of 8027244482400 in words is "eight trillion, twenty-seven billion, two hundred forty-four million, four hundred eighty-two thousand, four hundred".