1029334097352 has 512 divisors, whose sum is σ = 3081348864000. Its totient is φ = 283197358080.

The previous prime is 1029334097327. The next prime is 1029334097383. The reversal of 1029334097352 is 2537904339201.

It is a super-2 number, since 2×1029334097352² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3826520674 + ... + 3826520942.

It is an arithmetic number, because the mean of its divisors is an integer number (6018259500).

Almost surely, 2^{1029334097352} is an apocalyptic number.

1029334097352 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 1029334097352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540674432000).

1029334097352 is an abundant number, since it is smaller than the sum of its proper divisors (2052014766648).

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

1029334097352 is a wasteful number, since it uses less digits than its factorization.

1029334097352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 48.

The spelling of 1029334097352 in words is "one trillion, twenty-nine billion, three hundred thirty-four million, ninety-seven thousand, three hundred fifty-two".