4042401414012 has 144 divisors (see below), whose sum is σ = 11044430036640. Its totient is φ = 1239284841984.

The previous prime is 4042401414011. The next prime is 4042401414013. The reversal of 4042401414012 is 2104141042404.

It is a happy number.

4042401414012 is a `hidden beast` number, since 4 + 0 + 4 + 240 + 1 + 414 + 0 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4042401414011) and next prime (4042401414013).

It is a super-2 number, since 2×4042401414012² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042401414011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 607602478 + ... + 607609130.

It is an arithmetic number, because the mean of its divisors is an integer number (76697430810).

Almost surely, 2^{4042401414012} 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 4042401414012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5522215018320).

4042401414012 is an abundant number, since it is smaller than the sum of its proper divisors (7002028622628).

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

4042401414012 is a wasteful number, since it uses less digits than its factorization.

4042401414012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11212 (or 11207 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 4042401414012 its reverse (2104141042404), we get a palindrome (6146542456416).

The spelling of 4042401414012 in words is "four trillion, forty-two billion, four hundred one million, four hundred fourteen thousand, twelve".