1017233902720 has 128 divisors (see below), whose sum is σ = 2786683933440. Its totient is φ = 347830308864.

The previous prime is 1017233902717. The next prime is 1017233902739. The reversal of 1017233902720 is 272093327101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×1017233902720³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1017233902720.

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, 1366669 + ... + 1975411.

It is an arithmetic number, because the mean of its divisors is an integer number (21770968230).

Almost surely, 2^{1017233902720} is an apocalyptic number.

1017233902720 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 1017233902720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393341966720).

1017233902720 is an abundant number, since it is smaller than the sum of its proper divisors (1769450030720).

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

1017233902720 is an equidigital number, since it uses as much as digits as its factorization.

1017233902720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609142 (or 609130 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The spelling of 1017233902720 in words is "one trillion, seventeen billion, two hundred thirty-three million, nine hundred two thousand, seven hundred twenty".