4142121022400 has 168 divisors, whose sum is σ = 10741770957360. Its totient is φ = 1567724544000.

The previous prime is 4142121022307. The next prime is 4142121022411. The reversal of 4142121022400 is 42201212414.

4142121022400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24875420 + ... + 25041380.

Almost surely, 2^{4142121022400} is an apocalyptic number.

4142121022400 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 4142121022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370885478680).

4142121022400 is an abundant number, since it is smaller than the sum of its proper divisors (6599649934960).

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

4142121022400 is a wasteful number, since it uses less digits than its factorization.

4142121022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166823 (or 166808 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 4142121022400 its reverse (42201212414), we get a palindrome (4184322234814).

The spelling of 4142121022400 in words is "four trillion, one hundred forty-two billion, one hundred twenty-one million, twenty-two thousand, four hundred".