42284753840 has 240 divisors, whose sum is σ = 124539573600. Its totient is φ = 13260312576.

The previous prime is 42284753813. The next prime is 42284753879. The reversal of 42284753840 is 4835748224.

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 47 ways as a sum of consecutive naturals, for example, 2150132 + ... + 2169708.

It is an arithmetic number, because the mean of its divisors is an integer number (518914890).

Almost surely, 2^42284753840 is an apocalyptic number.

42284753840 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 42284753840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62269786800).

42284753840 is an abundant number, since it is smaller than the sum of its proper divisors (82254819760).

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

42284753840 is a wasteful number, since it uses less digits than its factorization.

42284753840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19652 (or 19639 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 47.

The spelling of 42284753840 in words is "forty-two billion, two hundred eighty-four million, seven hundred fifty-three thousand, eight hundred forty".