1029000000000 has 800 divisors, whose sum is σ = 3996093340800. Its totient is φ = 235200000000.

The previous prime is 1028999999983. The next prime is 1029000000019. The reversal of 1029000000000 is 9201.

It is a happy number.

1029000000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (800).

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=7000.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 146999999997 + ... + 147000000003.

It is an arithmetic number, because the mean of its divisors is an integer number (4995116676).

Almost surely, 2^{1029000000000} is an apocalyptic number.

1029000000000 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 1029000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998046670400).

1029000000000 is an abundant number, since it is smaller than the sum of its proper divisors (2967093340800).

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

1029000000000 is an frugal number, since it uses more digits than its factorization.

1029000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1029000000000 its reverse (9201), we get a palindrome (1029000009201).

The spelling of 1029000000000 in words is "one trillion, twenty-nine billion", and thus it is an aban number and an uban number.