4042121214300 has 288 divisors, whose sum is σ = 12959997173760. Its totient is φ = 966354278400.

The previous prime is 4042121214223. The next prime is 4042121214347. The reversal of 4042121214300 is 34121212404.

It is a super-2 number, since 2×4042121214300² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35601021 + ... + 35714379.

Almost surely, 2^{4042121214300} 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 4042121214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6479998586880).

4042121214300 is an abundant number, since it is smaller than the sum of its proper divisors (8917875959460).

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

4042121214300 is a wasteful number, since it uses less digits than its factorization.

4042121214300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113653 (or 113646 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4042121214300 its reverse (34121212404), we get a palindrome (4076242426704).

The spelling of 4042121214300 in words is "four trillion, forty-two billion, one hundred twenty-one million, two hundred fourteen thousand, three hundred".