4042134021312 has 84 divisors (see below), whose sum is σ = 12015160253096. Its totient is φ = 1347378001920.

The previous prime is 4042134021307. The next prime is 4042134021361. The reversal of 4042134021312 is 2131204312404.

4042134021312 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 1 + 340 + 2 + 1 + 312 = 666.

It is a super-3 number, since 3×4042134021312³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129939889 + ... + 129970992.

Almost surely, 2^{4042134021312} is an apocalyptic number.

It is an amenable number.

4042134021312 is an abundant number, since it is smaller than the sum of its proper divisors (7973026231784).

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

4042134021312 is an equidigital number, since it uses as much as digits as its factorization.

4042134021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259910908 (or 259910886 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4042134021312 its reverse (2131204312404), we get a palindrome (6173338333716).

The spelling of 4042134021312 in words is "four trillion, forty-two billion, one hundred thirty-four million, twenty-one thousand, three hundred twelve".