4042121200000 has 384 divisors, whose sum is σ = 11311044171840. Its totient is φ = 1427543040000.

The previous prime is 4042121199979. The next prime is 4042121200001. The reversal of 4042121200000 is 21212404.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042121200001) 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, 119583102 + ... + 119616898.

Almost surely, 2^{4042121200000} is an apocalyptic number.

4042121200000 is a gapful number since it is divisible by the number (40) 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 4042121200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5655522085920).

4042121200000 is an abundant number, since it is smaller than the sum of its proper divisors (7268922971840).

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

4042121200000 is an equidigital number, since it uses as much as digits as its factorization.

4042121200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33872 (or 33840 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 4042121200000 its reverse (21212404), we get a palindrome (4042142412404).

The spelling of 4042121200000 in words is "four trillion, forty-two billion, one hundred twenty-one million, two hundred thousand".