142179449218560 has 1920 divisors, whose sum is σ = 579267364515840. Its totient is φ = 31915789516800.

The previous prime is 142179449218531. The next prime is 142179449218561. The reversal of 142179449218560 is 65812944971241.

142179449218560 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 7 + 9 + 4 + 49 + 21 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142179449218561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34754202115 + ... + 34754206205.

It is an arithmetic number, because the mean of its divisors is an integer number (301701752352).

Almost surely, 2^{142179449218560} is an apocalyptic number.

142179449218560 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 142179449218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289633682257920).

142179449218560 is an abundant number, since it is smaller than the sum of its proper divisors (437087915297280).

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

142179449218560 is a wasteful number, since it uses less digits than its factorization.

142179449218560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4380 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 142179449218560 in words is "one hundred forty-two trillion, one hundred seventy-nine billion, four hundred forty-nine million, two hundred eighteen thousand, five hundred sixty".