8020341132000 has 768 divisors, whose sum is σ = 28210985607168. Its totient is φ = 1987185868800.

The previous prime is 8020341131989. The next prime is 8020341132043. The reversal of 8020341132000 is 2311430208.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1777161744 + ... + 1777166256.

It is an arithmetic number, because the mean of its divisors is an integer number (36733054176).

Almost surely, 2^{8020341132000} is an apocalyptic number.

8020341132000 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 8020341132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14105492803584).

8020341132000 is an abundant number, since it is smaller than the sum of its proper divisors (20190644475168).

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

8020341132000 is a wasteful number, since it uses less digits than its factorization.

8020341132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4748 (or 4730 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 8020341132000 its reverse (2311430208), we get a palindrome (8022652562208).

The spelling of 8020341132000 in words is "eight trillion, twenty billion, three hundred forty-one million, one hundred thirty-two thousand".