1301282640 has 480 divisors, whose sum is σ = 5348229120. Its totient is φ = 276950016.

The previous prime is 1301282623. The next prime is 1301282669. The reversal of 1301282640 is 462821031.

1301282640 is a `hidden beast` number, since 1 + 3 + 0 + 12 + 8 + 2 + 640 = 666.

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 95 ways as a sum of consecutive naturals, for example, 10246257 + ... + 10246383.

It is an arithmetic number, because the mean of its divisors is an integer number (11142144).

Almost surely, 2^1301282640 is an apocalyptic number.

1301282640 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 1301282640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674114560).

1301282640 is an abundant number, since it is smaller than the sum of its proper divisors (4046946480).

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

1301282640 is a wasteful number, since it uses less digits than its factorization.

1301282640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1301282640 is about 36073.2953859223. The cubic root of 1301282640 is about 1091.7517046071.

The spelling of 1301282640 in words is "one billion, three hundred one million, two hundred eighty-two thousand, six hundred forty".