1033890988032 has 640 divisors, whose sum is σ = 3560133825600. Its totient is φ = 294107480064.

The previous prime is 1033890988027. The next prime is 1033890988033. The reversal of 1033890988032 is 2308890983301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1033890988032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033890988033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4514807694 + ... + 4514807922.

Almost surely, 2^{1033890988032} is an apocalyptic number.

1033890988032 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 1033890988032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780066912800).

1033890988032 is an abundant number, since it is smaller than the sum of its proper divisors (2526242837568).

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

1033890988032 is an frugal number, since it uses more digits than its factorization.

1033890988032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 1033890988032 in words is "one trillion, thirty-three billion, eight hundred ninety million, nine hundred eighty-eight thousand, thirty-two".