1282798415010 has 128 divisors (see below), whose sum is σ = 3640909824000. Its totient is φ = 289081168320.

The previous prime is 1282798414943. The next prime is 1282798415011. The reversal of 1282798415010 is 105148972821.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1282798415011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147330 + ... + 1608509.

It is an arithmetic number, because the mean of its divisors is an integer number (28444608000).

Almost surely, 2^{1282798415010} is an apocalyptic number.

1282798415010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1282798415010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820454912000).

1282798415010 is an abundant number, since it is smaller than the sum of its proper divisors (2358111408990).

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

1282798415010 is a wasteful number, since it uses less digits than its factorization.

1282798415010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755941 (or 1755927 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 48.

The spelling of 1282798415010 in words is "one trillion, two hundred eighty-two billion, seven hundred ninety-eight million, four hundred fifteen thousand, ten".