842333440 has 144 divisors (see below), whose sum is σ = 2192214528. Its totient is φ = 308256768.

The previous prime is 842333431. The next prime is 842333473. The reversal of 842333440 is 44333248.

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 15 ways as a sum of consecutive naturals, for example, 3710607 + ... + 3710833.

It is an arithmetic number, because the mean of its divisors is an integer number (15223712).

Almost surely, 2^842333440 is an apocalyptic number.

842333440 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 842333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096107264).

842333440 is an abundant number, since it is smaller than the sum of its proper divisors (1349881088).

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

842333440 is a wasteful number, since it uses less digits than its factorization.

842333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

The square root of 842333440 is about 29022.9812390113. The cubic root of 842333440 is about 944.4116752747.

Adding to 842333440 its reverse (44333248), we get a palindrome (886666688).

The spelling of 842333440 in words is "eight hundred forty-two million, three hundred thirty-three thousand, four hundred forty".