1033057834368 has 512 divisors, whose sum is σ = 3474358272000. Its totient is φ = 264995241984.

The previous prime is 1033057834301. The next prime is 1033057834379. The reversal of 1033057834368 is 8634387503301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 1033057834368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 461391393 + ... + 461393631.

It is an arithmetic number, because the mean of its divisors is an integer number (6785856000).

Almost surely, 2^{1033057834368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1033057834368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737179136000).

1033057834368 is an abundant number, since it is smaller than the sum of its proper divisors (2441300437632).

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

1033057834368 is a wasteful number, since it uses less digits than its factorization.

1033057834368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 1033057834368 in words is "one trillion, thirty-three billion, fifty-seven million, eight hundred thirty-four thousand, three hundred sixty-eight".