1240528303872 has 864 divisors, whose sum is σ = 4406351201280. Its totient is φ = 341900697600.

The previous prime is 1240528303867. The next prime is 1240528303909. The reversal of 1240528303872 is 2783038250421.

1240528303872 is a `hidden beast` number, since 1 + 2 + 40 + 528 + 3 + 0 + 3 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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, 771952093 + ... + 771953699.

It is an arithmetic number, because the mean of its divisors is an integer number (5099943520).

Almost surely, 2^{1240528303872} is an apocalyptic number.

1240528303872 is a gapful number since it is divisible by the number (12) 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 1240528303872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203175600640).

1240528303872 is an abundant number, since it is smaller than the sum of its proper divisors (3165822897408).

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

1240528303872 is a wasteful number, since it uses less digits than its factorization.

1240528303872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1240528303872 in words is "one trillion, two hundred forty billion, five hundred twenty-eight million, three hundred three thousand, eight hundred seventy-two".