8043402528000 has 2592 divisors, whose sum is σ = 35090151602688. Its totient is φ = 1762725888000.

The previous prime is 8043402527959. The next prime is 8043402528017. The reversal of 8043402528000 is 8252043408.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 44438687910 + ... + 44438688090.

Almost surely, 2^{8043402528000} is an apocalyptic number.

8043402528000 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 8043402528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17545075801344).

8043402528000 is an abundant number, since it is smaller than the sum of its proper divisors (27046749074688).

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

8043402528000 is a wasteful number, since it uses less digits than its factorization.

8043402528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 8043402528000 in words is "eight trillion, forty-three billion, four hundred two million, five hundred twenty-eight thousand".