4241142348800 has 264 divisors, whose sum is σ = 12035102323200. Its totient is φ = 1451641651200.

The previous prime is 4241142348763. The next prime is 4241142348853. The reversal of 4241142348800 is 88432411424.

It is a super-2 number, since 2×4241142348800² (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 23 ways as a sum of consecutive naturals, for example, 107321045 + ... + 107360555.

It is an arithmetic number, because the mean of its divisors is an integer number (45587508800).

Almost surely, 2^{4241142348800} is an apocalyptic number.

4241142348800 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 4241142348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6017551161600).

4241142348800 is an abundant number, since it is smaller than the sum of its proper divisors (7793959974400).

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

4241142348800 is a wasteful number, since it uses less digits than its factorization.

4241142348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40147 (or 40124 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 41.

The spelling of 4241142348800 in words is "four trillion, two hundred forty-one billion, one hundred forty-two million, three hundred forty-eight thousand, eight hundred".