142128788327424 has 440 divisors, whose sum is σ = 437657055845856. Its totient is φ = 45914480640000.

The previous prime is 142128788327423. The next prime is 142128788327437. The reversal of 142128788327424 is 424723887821241.

It is a happy number.

142128788327424 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 287 + 8 + 8 + 327 + 4 + 24 = 666.

It is not an unprimeable number, because it can be changed into a prime (142128788327423) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 513367914 + ... + 513644694.

Almost surely, 2^{142128788327424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142128788327424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218828527922928).

142128788327424 is an abundant number, since it is smaller than the sum of its proper divisors (295528267518432).

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

142128788327424 is a wasteful number, since it uses less digits than its factorization.

142128788327424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277005 (or 276978 counting only the distinct ones).

The product of its digits is 77070336, while the sum is 63.

The spelling of 142128788327424 in words is "one hundred forty-two trillion, one hundred twenty-eight billion, seven hundred eighty-eight million, three hundred twenty-seven thousand, four hundred twenty-four".