4042112340032 has 112 divisors (see below), whose sum is σ = 9093411734400. Its totient is φ = 1768684904448.

The previous prime is 4042112340001. The next prime is 4042112340053. The reversal of 4042112340032 is 2300432112404.

It is a super-2 number, since 2×4042112340032² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 4042112339983 and 4042112340010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1227719 + ... + 3097017.

It is an arithmetic number, because the mean of its divisors is an integer number (81191176200).

Almost surely, 2^{4042112340032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042112340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4546705867200).

4042112340032 is an abundant number, since it is smaller than the sum of its proper divisors (5051299394368).

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

4042112340032 is a wasteful number, since it uses less digits than its factorization.

4042112340032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869460 (or 1869450 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 4042112340032 its reverse (2300432112404), we get a palindrome (6342544452436).

The spelling of 4042112340032 in words is "four trillion, forty-two billion, one hundred twelve million, three hundred forty thousand, thirty-two".