1029339840672 has 648 divisors, whose sum is σ = 3667789944000. Its totient is φ = 272743511040.

The previous prime is 1029339840593. The next prime is 1029339840673. The reversal of 1029339840672 is 2760489339201.

1029339840672 is a `hidden beast` number, since 102 + 93 + 398 + 4 + 0 + 67 + 2 = 666.

1029339840672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1029339840672³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1029339840673) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 111892329 + ... + 111901527.

Almost surely, 2^{1029339840672} is an apocalyptic number.

1029339840672 is a gapful number since it is divisible by the number (12) 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 1029339840672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833894972000).

1029339840672 is an abundant number, since it is smaller than the sum of its proper divisors (2638450103328).

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

1029339840672 is a wasteful number, since it uses less digits than its factorization.

1029339840672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9282 (or 9247 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 1029339840672 in words is "one trillion, twenty-nine billion, three hundred thirty-nine million, eight hundred forty thousand, six hundred seventy-two".