1033434034040 has 64 divisors (see below), whose sum is σ = 2354346842400. Its totient is φ = 408208508928.

The previous prime is 1033434034021. The next prime is 1033434034067. The reversal of 1033434034040 is 404304343301.

It is a junction number, because it is equal to n+sod(n) for n = 1033434033994 and 1033434034012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2617292 + ... + 2986148.

Almost surely, 2^{1033434034040} is an apocalyptic number.

1033434034040 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 1033434034040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177173421200).

1033434034040 is an abundant number, since it is smaller than the sum of its proper divisors (1320912808360).

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

1033434034040 is a wasteful number, since it uses less digits than its factorization.

1033434034040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369744 (or 369740 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 1033434034040 its reverse (404304343301), we get a palindrome (1437738377341).

The spelling of 1033434034040 in words is "one trillion, thirty-three billion, four hundred thirty-four million, thirty-four thousand, forty".