8416008249600 has 1080 divisors, whose sum is σ = 34310929272480. Its totient is φ = 1810334023680.

The previous prime is 8416008249581. The next prime is 8416008249637. The reversal of 8416008249600 is 69428006148.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8416008249600.

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 119 ways as a sum of consecutive naturals, for example, 783681031 + ... + 783691769.

It is an arithmetic number, because the mean of its divisors is an integer number (31769378956).

Almost surely, 2^{8416008249600} is an apocalyptic number.

8416008249600 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 8416008249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17155464636240).

8416008249600 is an abundant number, since it is smaller than the sum of its proper divisors (25894921022880).

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

8416008249600 is a wasteful number, since it uses less digits than its factorization.

8416008249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10813 (or 10773 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 8416008249600 in words is "eight trillion, four hundred sixteen billion, eight million, two hundred forty-nine thousand, six hundred".