8438166794400 has 864 divisors, whose sum is σ = 32198436168192. Its totient is φ = 1913829120000.

The previous prime is 8438166794399. The next prime is 8438166794437. The reversal of 8438166794400 is 44976618348.

It is a super-2 number, since 2×8438166794400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14375070907 + ... + 14375071493.

It is an arithmetic number, because the mean of its divisors is an integer number (37266708528).

Almost surely, 2^{8438166794400} is an apocalyptic number.

8438166794400 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 8438166794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16099218084096).

8438166794400 is an abundant number, since it is smaller than the sum of its proper divisors (23760269373792).

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

8438166794400 is a wasteful number, since it uses less digits than its factorization.

8438166794400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 8438166794400 in words is "eight trillion, four hundred thirty-eight billion, one hundred sixty-six million, seven hundred ninety-four thousand, four hundred".