1000233590720 has 224 divisors, whose sum is σ = 2993829285888. Its totient is φ = 309821755392.

The previous prime is 1000233590689. The next prime is 1000233590737. The reversal of 1000233590720 is 270953320001.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 1003229 + ... + 1734051.

It is an arithmetic number, because the mean of its divisors is an integer number (13365309312).

Almost surely, 2^{1000233590720} is an apocalyptic number.

1000233590720 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 1000233590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496914642944).

1000233590720 is an abundant number, since it is smaller than the sum of its proper divisors (1993595695168).

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

1000233590720 is a wasteful number, since it uses less digits than its factorization.

1000233590720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730907 (or 730897 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The spelling of 1000233590720 in words is "one trillion, two hundred thirty-three million, five hundred ninety thousand, seven hundred twenty".