1029129318144 has 180 divisors, whose sum is σ = 3072010414704. Its totient is φ = 342670528512.

The previous prime is 1029129318101. The next prime is 1029129318167. The reversal of 1029129318144 is 4418139219201.

1029129318144 is a `hidden beast` number, since 1 + 0 + 291 + 2 + 9 + 318 + 1 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1029129318144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19403149 + ... + 19456115.

Almost surely, 2^{1029129318144} 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 1029129318144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536005207352).

1029129318144 is an abundant number, since it is smaller than the sum of its proper divisors (2042881096560).

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

1029129318144 is an frugal number, since it uses more digits than its factorization.

1029129318144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53932 (or 53909 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 1029129318144 in words is "one trillion, twenty-nine billion, one hundred twenty-nine million, three hundred eighteen thousand, one hundred forty-four".