1033284472320 has 1280 divisors, whose sum is σ = 3820872591360. Its totient is φ = 236840288256.

The previous prime is 1033284472313. The next prime is 1033284472321. The reversal of 1033284472320 is 232744823301.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033284472321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6581429682 + ... + 6581429838.

It is an arithmetic number, because the mean of its divisors is an integer number (2985056712).

Almost surely, 2^{1033284472320} is an apocalyptic number.

1033284472320 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 1033284472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910436295680).

1033284472320 is an abundant number, since it is smaller than the sum of its proper divisors (2787588119040).

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

1033284472320 is a wasteful number, since it uses less digits than its factorization.

1033284472320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 1033284472320 in words is "one trillion, thirty-three billion, two hundred eighty-four million, four hundred seventy-two thousand, three hundred twenty".