1283430720000 has 800 divisors, whose sum is σ = 5020044321600. Its totient is φ = 287170560000.

The previous prime is 1283430719983. The next prime is 1283430720007. The reversal of 1283430720000 is 270343821.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 1283430720000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1283430720007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 137275326 + ... + 137284674.

It is an arithmetic number, because the mean of its divisors is an integer number (6275055402).

Almost surely, 2^{1283430720000} is an apocalyptic number.

1283430720000 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 1283430720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510022160800).

1283430720000 is an abundant number, since it is smaller than the sum of its proper divisors (3736613601600).

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

1283430720000 is an equidigital number, since it uses as much as digits as its factorization.

1283430720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9414 (or 9383 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 1283430720000 in words is "one trillion, two hundred eighty-three billion, four hundred thirty million, seven hundred twenty thousand".