1006240112640 has 1120 divisors, whose sum is σ = 4237710136704. Its totient is φ = 223590481920.

The previous prime is 1006240112627. The next prime is 1006240112681. The reversal of 1006240112640 is 462110426001.

1006240112640 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 2 + 4 + 0 + 1 + 12 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 859299255 + ... + 859300425.

Almost surely, 2^{1006240112640} is an apocalyptic number.

1006240112640 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 1006240112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118855068352).

1006240112640 is an abundant number, since it is smaller than the sum of its proper divisors (3231470024064).

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

1006240112640 is an equidigital number, since it uses as much as digits as its factorization.

1006240112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1225 counting only the distinct ones).

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

Adding to 1006240112640 its reverse (462110426001), we get a palindrome (1468350538641).

The spelling of 1006240112640 in words is "one trillion, six billion, two hundred forty million, one hundred twelve thousand, six hundred forty".