4142223124400 has 120 divisors (see below), whose sum is σ = 10143234452160. Its totient is φ = 1625125515520.

The previous prime is 4142223124357. The next prime is 4142223124421. The reversal of 4142223124400 is 44213222414.

It is a happy 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, 10256699 + ... + 10652901.

It is an arithmetic number, because the mean of its divisors is an integer number (84526953768).

Almost surely, 2^{4142223124400} is an apocalyptic number.

4142223124400 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 4142223124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5071617226080).

4142223124400 is an abundant number, since it is smaller than the sum of its proper divisors (6001011327760).

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

4142223124400 is a wasteful number, since it uses less digits than its factorization.

4142223124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396723 (or 396712 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 4142223124400 its reverse (44213222414), we get a palindrome (4186436346814).

The spelling of 4142223124400 in words is "four trillion, one hundred forty-two billion, two hundred twenty-three million, one hundred twenty-four thousand, four hundred".