4142241434400 has 576 divisors, whose sum is σ = 13983484999680. Its totient is φ = 1064240640000.

The previous prime is 4142241434393. The next prime is 4142241434411. The reversal of 4142241434400 is 44341422414.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5515634025 + ... + 5515634775.

It is an arithmetic number, because the mean of its divisors is an integer number (24276883680).

Almost surely, 2^{4142241434400} is an apocalyptic number.

4142241434400 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 4142241434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6991742499840).

4142241434400 is an abundant number, since it is smaller than the sum of its proper divisors (9841243565280).

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

4142241434400 is a wasteful number, since it uses less digits than its factorization.

4142241434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 4142241434400 its reverse (44341422414), we get a palindrome (4186582856814).

The spelling of 4142241434400 in words is "four trillion, one hundred forty-two billion, two hundred forty-one million, four hundred thirty-four thousand, four hundred".