4242410214400 has 264 divisors, whose sum is σ = 10890805086720. Its totient is φ = 1636847616000.

The previous prime is 4242410214359. The next prime is 4242410214403. The reversal of 4242410214400 is 44120142424.

It is a happy number.

It is a super-3 number, since 3×4242410214400³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242410214403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246801006 + ... + 246818194.

Almost surely, 2^{4242410214400} is an apocalyptic number.

4242410214400 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 4242410214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5445402543360).

4242410214400 is an abundant number, since it is smaller than the sum of its proper divisors (6648394872320).

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

4242410214400 is a wasteful number, since it uses less digits than its factorization.

4242410214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17561 (or 17538 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 4242410214400 its reverse (44120142424), we get a palindrome (4286530356824).

The spelling of 4242410214400 in words is "four trillion, two hundred forty-two billion, four hundred ten million, two hundred fourteen thousand, four hundred".