42046005120 has 256 divisors, whose sum is σ = 156905441280. Its totient is φ = 9375989760.

The previous prime is 42046005119. The next prime is 42046005121. The reversal of 42046005120 is 2150064024.

It is an interprime number because it is at equal distance from previous prime (42046005119) and next prime (42046005121).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42046005121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512889 + ... + 589191.

It is an arithmetic number, because the mean of its divisors is an integer number (612911880).

Almost surely, 2^42046005120 is an apocalyptic number.

42046005120 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 42046005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78452720640).

42046005120 is an abundant number, since it is smaller than the sum of its proper divisors (114859436160).

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

42046005120 is a wasteful number, since it uses less digits than its factorization.

42046005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76373 (or 76361 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 42046005120 its reverse (2150064024), we get a palindrome (44196069144).

The spelling of 42046005120 in words is "forty-two billion, forty-six million, five thousand, one hundred twenty".