8141285376000 has 3360 divisors, whose sum is σ = 37544879473920. Its totient is φ = 1719926784000.

The previous prime is 8141285375983. The next prime is 8141285376013. The reversal of 8141285376000 is 6735821418.

8141285376000 is a `hidden beast` number, since 8 + 1 + 4 + 1 + 2 + 8 + 5 + 37 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×8141285376000² (a number of 27 digits) contains 22 as substring.

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 223 ways as a sum of consecutive naturals, for example, 198567935980 + ... + 198567936020.

It is an arithmetic number, because the mean of its divisors is an integer number (11174071272).

Almost surely, 2^{8141285376000} is an apocalyptic number.

8141285376000 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 8141285376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18772439736960).

8141285376000 is an abundant number, since it is smaller than the sum of its proper divisors (29403594097920).

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

8141285376000 is an frugal number, since it uses more digits than its factorization.

8141285376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 8141285376000 in words is "eight trillion, one hundred forty-one billion, two hundred eighty-five million, three hundred seventy-six thousand".