8041052448000 has 2592 divisors, whose sum is σ = 35719895248128. Its totient is φ = 1718525952000.

The previous prime is 8041052447963. The next prime is 8041052448031. The reversal of 8041052448000 is 8442501408.

8041052448000 is a `hidden beast` number, since 80 + 4 + 10 + 524 + 48 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12314015674 + ... + 12314016326.

It is an arithmetic number, because the mean of its divisors is an integer number (13780823784).

Almost surely, 2^{8041052448000} is an apocalyptic number.

8041052448000 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 8041052448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17859947624064).

8041052448000 is an abundant number, since it is smaller than the sum of its proper divisors (27678842800128).

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

8041052448000 is a wasteful number, since it uses less digits than its factorization.

8041052448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

Adding to 8041052448000 its reverse (8442501408), we get a palindrome (8049494949408).

The spelling of 8041052448000 in words is "eight trillion, forty-one billion, fifty-two million, four hundred forty-eight thousand".