1016672240256 has 128 divisors (see below), whose sum is σ = 2738634720000. Its totient is φ = 334121988096.

The previous prime is 1016672240251. The next prime is 1016672240261. The reversal of 1016672240256 is 6520422766101.

It is an interprime number because it is at equal distance from previous prime (1016672240251) and next prime (1016672240261).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1016672240251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21484590 + ... + 21531858.

It is an arithmetic number, because the mean of its divisors is an integer number (21395583750).

Almost surely, 2^{1016672240256} is an apocalyptic number.

1016672240256 is a gapful number since it is divisible by the number (16) 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 1016672240256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369317360000).

1016672240256 is an abundant number, since it is smaller than the sum of its proper divisors (1721962479744).

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

1016672240256 is an equidigital number, since it uses as much as digits as its factorization.

1016672240256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48074 (or 48062 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 1016672240256 in words is "one trillion, sixteen billion, six hundred seventy-two million, two hundred forty thousand, two hundred fifty-six".