4042400214300 has 288 divisors, whose sum is σ = 14157101887488. Its totient is φ = 869383188480.

The previous prime is 4042400214299. The next prime is 4042400214301. The reversal of 4042400214300 is 34120042404.

It is a happy number.

4042400214300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4042400214299) and next prime (4042400214301).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042400214301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147320182 + ... + 147347618.

It is an arithmetic number, because the mean of its divisors is an integer number (49156603776).

Almost surely, 2^{4042400214300} 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 4042400214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7078550943744).

4042400214300 is an abundant number, since it is smaller than the sum of its proper divisors (10114701673188).

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

4042400214300 is a wasteful number, since it uses less digits than its factorization.

4042400214300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31605 (or 31598 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4042400214300 its reverse (34120042404), we get a palindrome (4076520256704).

The spelling of 4042400214300 in words is "four trillion, forty-two billion, four hundred million, two hundred fourteen thousand, three hundred".