84124042002432 has 912 divisors, whose sum is σ = 268089199792128. Its totient is φ = 25331478036480.

The previous prime is 84124042002383. The next prime is 84124042002487. The reversal of 84124042002432 is 23420024042148.

84124042002432 is a `hidden beast` number, since 8 + 4 + 1 + 2 + 404 + 2 + 0 + 0 + 243 + 2 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 72333655483 + ... + 72333656645.

Almost surely, 2^{84124042002432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84124042002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134044599896064).

84124042002432 is an abundant number, since it is smaller than the sum of its proper divisors (183965157789696).

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

84124042002432 is a wasteful number, since it uses less digits than its factorization.

84124042002432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 84124042002432 in words is "eighty-four trillion, one hundred twenty-four billion, forty-two million, two thousand, four hundred thirty-two".