84057443424 has 144 divisors (see below), whose sum is σ = 240759857520. Its totient is φ = 27817896960.

The previous prime is 84057443389. The next prime is 84057443467. The reversal of 84057443424 is 42434475048.

84057443424 is a `hidden beast` number, since 8 + 40 + 574 + 4 + 34 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 84057443424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52633794 + ... + 52635390.

It is an arithmetic number, because the mean of its divisors is an integer number (1671943455).

Almost surely, 2^84057443424 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 84057443424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120379928760).

84057443424 is an abundant number, since it is smaller than the sum of its proper divisors (156702414096).

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

84057443424 is a wasteful number, since it uses less digits than its factorization.

84057443424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 45.

The spelling of 84057443424 in words is "eighty-four billion, fifty-seven million, four hundred forty-three thousand, four hundred twenty-four".