142424314214400 has 432 divisors, whose sum is σ = 536916858168600. Its totient is φ = 35980877168640.

The previous prime is 142424314214387. The next prime is 142424314214447. The reversal of 142424314214400 is 4412413424241.

142424314214400 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 2 + 4 + 31 + 4 + 214 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 621502 + ... + 16888898.

Almost surely, 2^{142424314214400} is an apocalyptic number.

142424314214400 is a gapful number since it is divisible by the number (10) 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 142424314214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268458429084300).

142424314214400 is an abundant number, since it is smaller than the sum of its proper divisors (394492543954200).

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

142424314214400 is a wasteful number, since it uses less digits than its factorization.

142424314214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16267454 (or 16267426 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 142424314214400 its reverse (4412413424241), we get a palindrome (146836727638641).

The spelling of 142424314214400 in words is "one hundred forty-two trillion, four hundred twenty-four billion, three hundred fourteen million, two hundred fourteen thousand, four hundred".