1282430926784 has 224 divisors, whose sum is σ = 3050877312000. Its totient is φ = 523248574464.

The previous prime is 1282430926771. The next prime is 1282430926817. The reversal of 1282430926784 is 4876290342821.

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 (56).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 484483349 + ... + 484485995.

It is an arithmetic number, because the mean of its divisors is an integer number (13619988000).

Almost surely, 2^{1282430926784} is an apocalyptic number.

1282430926784 is a gapful number since it is divisible by the number (14) 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 1282430926784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525438656000).

1282430926784 is an abundant number, since it is smaller than the sum of its proper divisors (1768446385216).

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

1282430926784 is a wasteful number, since it uses less digits than its factorization.

1282430926784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 56.

The spelling of 1282430926784 in words is "one trillion, two hundred eighty-two billion, four hundred thirty million, nine hundred twenty-six thousand, seven hundred eighty-four".