1073200822720 has 448 divisors, whose sum is σ = 2958180414336. Its totient is φ = 367342387200.

The previous prime is 1073200822711. The next prime is 1073200822721. The reversal of 1073200822720 is 272280023701.

It is a happy number.

It is a super-4 number, since 4×1073200822720⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073200822721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2478523624 + ... + 2478524056.

It is an arithmetic number, because the mean of its divisors is an integer number (6603081282).

Almost surely, 2^{1073200822720} is an apocalyptic number.

1073200822720 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 1073200822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479090207168).

1073200822720 is an abundant number, since it is smaller than the sum of its proper divisors (1884979591616).

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

1073200822720 is a wasteful number, since it uses less digits than its factorization.

1073200822720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The spelling of 1073200822720 in words is "one trillion, seventy-three billion, two hundred million, eight hundred twenty-two thousand, seven hundred twenty".