42584702883840 has 1152 divisors, whose sum is σ = 165430268377920. Its totient is φ = 10444287246336.

The previous prime is 42584702883817. The next prime is 42584702883889. The reversal of 42584702883840 is 4838820748524.

42584702883840 is a `hidden beast` number, since 4 + 2 + 5 + 8 + 470 + 2 + 8 + 83 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9478008634 + ... + 9478013126.

Almost surely, 2^{42584702883840} is an apocalyptic number.

42584702883840 is a gapful number since it is divisible by the number (40) 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 42584702883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82715134188960).

42584702883840 is an abundant number, since it is smaller than the sum of its proper divisors (122845565494080).

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

42584702883840 is a wasteful number, since it uses less digits than its factorization.

42584702883840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4841 (or 4809 counting only the distinct ones).

The product of its (nonzero) digits is 110100480, while the sum is 63.

It can be divided in two parts, 4258470 and 2883840, that added together give a triangular number (7142310 = T₃₇₇₉).

The spelling of 42584702883840 in words is "forty-two trillion, five hundred eighty-four billion, seven hundred two million, eight hundred eighty-three thousand, eight hundred forty".