1033304042040 has 128 divisors (see below), whose sum is σ = 3158900078400. Its totient is φ = 270306017280.

The previous prime is 1033304042021. The next prime is 1033304042081. The reversal of 1033304042040 is 402404033301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1033304042040.

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, 72045270 + ... + 72059610.

Almost surely, 2^{1033304042040} is an apocalyptic number.

1033304042040 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 1033304042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579450039200).

1033304042040 is an abundant number, since it is smaller than the sum of its proper divisors (2125596036360).

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

1033304042040 is a wasteful number, since it uses less digits than its factorization.

1033304042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25737 (or 25733 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 1033304042040 its reverse (402404033301), we get a palindrome (1435708075341).

The spelling of 1033304042040 in words is "one trillion, thirty-three billion, three hundred four million, forty-two thousand, forty".