1282758791040 has 1152 divisors, whose sum is σ = 4849209050400. Its totient is φ = 311980032000.

The previous prime is 1282758790993. The next prime is 1282758791053. The reversal of 1282758791040 is 401978572821.

1282758791040 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 7 + 587 + 9 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9792051775 + ... + 9792051905.

Almost surely, 2^{1282758791040} is an apocalyptic number.

1282758791040 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 1282758791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424604525200).

1282758791040 is an abundant number, since it is smaller than the sum of its proper divisors (3566450259360).

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

1282758791040 is a wasteful number, since it uses less digits than its factorization.

1282758791040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 1282758791040 in words is "one trillion, two hundred eighty-two billion, seven hundred fifty-eight million, seven hundred ninety-one thousand, forty".