42112332240 has 320 divisors, whose sum is σ = 145276416000. Its totient is φ = 10005811200.

The previous prime is 42112332233. The next prime is 42112332247. The reversal of 42112332240 is 4223321124.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42112332233) and next prime (42112332247).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42112332240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42112332247) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 37299996 + ... + 37301124.

It is an arithmetic number, because the mean of its divisors is an integer number (453988800).

Almost surely, 2^42112332240 is an apocalyptic number.

42112332240 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 42112332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72638208000).

42112332240 is an abundant number, since it is smaller than the sum of its proper divisors (103164083760).

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

42112332240 is a wasteful number, since it uses less digits than its factorization.

42112332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42112332240 its reverse (4223321124), we get a palindrome (46335653364).

The spelling of 42112332240 in words is "forty-two billion, one hundred twelve million, three hundred thirty-two thousand, two hundred forty".