142264028712960 has 1664 divisors, whose sum is σ = 632448157593600. Its totient is φ = 29473104199680.

The previous prime is 142264028712943. The next prime is 142264028712979. The reversal of 142264028712960 is 69217820462241.

142264028712960 is a `hidden beast` number, since 1 + 4 + 2 + 264 + 0 + 28 + 71 + 296 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 142264028712897 and 142264028712906.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 14774533426 + ... + 14774543054.

Almost surely, 2^{142264028712960} is an apocalyptic number.

142264028712960 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 142264028712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316224078796800).

142264028712960 is an abundant number, since it is smaller than the sum of its proper divisors (490184128880640).

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

142264028712960 is a wasteful number, since it uses less digits than its factorization.

142264028712960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10032 (or 10004 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 142264028712960 in words is "one hundred forty-two trillion, two hundred sixty-four billion, twenty-eight million, seven hundred twelve thousand, nine hundred sixty".