1034433314112 has 224 divisors, whose sum is σ = 3061118592000. Its totient is φ = 305564774400.

The previous prime is 1034433314107. The next prime is 1034433314129. The reversal of 1034433314112 is 2114133344301.

It is a self number, because there is not a number n which added to its sum of digits gives 1034433314112.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 121137939 + ... + 121146477.

It is an arithmetic number, because the mean of its divisors is an integer number (13665708000).

Almost surely, 2^{1034433314112} is an apocalyptic number.

1034433314112 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 1034433314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530559296000).

1034433314112 is an abundant number, since it is smaller than the sum of its proper divisors (2026685277888).

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

1034433314112 is a wasteful number, since it uses less digits than its factorization.

1034433314112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10005 (or 9995 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 1034433314112 its reverse (2114133344301), we get a palindrome (3148566658413).

The spelling of 1034433314112 in words is "one trillion, thirty-four billion, four hundred thirty-three million, three hundred fourteen thousand, one hundred twelve".