4042400312412 has 288 divisors, whose sum is σ = 12892299323904. Its totient is φ = 1037465395200.

The previous prime is 4042400312333. The next prime is 4042400312443. The reversal of 4042400312412 is 2142130042404.

4042400312412 is a `hidden beast` number, since 4 + 0 + 4 + 240 + 0 + 3 + 1 + 2 + 412 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84585868 + ... + 84633644.

It is an arithmetic number, because the mean of its divisors is an integer number (44764928208).

Almost surely, 2^{4042400312412} is an apocalyptic number.

4042400312412 is a gapful number since it is divisible by the number (42) 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 4042400312412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6446149661952).

4042400312412 is an abundant number, since it is smaller than the sum of its proper divisors (8849899011492).

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

4042400312412 is a wasteful number, since it uses less digits than its factorization.

4042400312412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48169 (or 48164 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4042400312412 its reverse (2142130042404), we get a palindrome (6184530354816).

The spelling of 4042400312412 in words is "four trillion, forty-two billion, four hundred million, three hundred twelve thousand, four hundred twelve".