4142221344000 has 216 divisors, whose sum is σ = 14904921579912. Its totient is φ = 1104592281600.

The previous prime is 4142221343851. The next prime is 4142221344031. The reversal of 4142221344000 is 4431222414.

4142221344000 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 2 + 213 + 440 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1130802545664 + 3011418798336 = 1063392^2 + 1735344^2 .

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, 6903357 + ... + 7479356.

Almost surely, 2^{4142221344000} is an apocalyptic number.

4142221344000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4142221344000 is an abundant number, since it is smaller than the sum of its proper divisors (10762700235912).

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

4142221344000 is a wasteful number, since it uses less digits than its factorization.

4142221344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14382750 (or 14382723 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4142221344000 its reverse (4431222414), we get a palindrome (4146652566414).

The spelling of 4142221344000 in words is "four trillion, one hundred forty-two billion, two hundred twenty-one million, three hundred forty-four thousand".