1282841724240 has 120 divisors (see below), whose sum is σ = 4323542514408. Its totient is φ = 340873666560.

The previous prime is 1282841724223. The next prime is 1282841724271. The reversal of 1282841724240 is 424271482821.

1282841724240 is a `hidden beast` number, since 1 + 2 + 82 + 84 + 1 + 72 + 424 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 405015142464 + 877826581776 = 636408^2 + 936924^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×1282841724240³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2968009 + ... + 3372648.

Almost surely, 2^{1282841724240} is an apocalyptic number.

1282841724240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1282841724240 is an abundant number, since it is smaller than the sum of its proper divisors (3040700790168).

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

1282841724240 is a wasteful number, since it uses less digits than its factorization.

1282841724240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6340957 (or 6340948 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 1282841724240 in words is "one trillion, two hundred eighty-two billion, eight hundred forty-one million, seven hundred twenty-four thousand, two hundred forty".