1014241221056 has 112 divisors (see below), whose sum is σ = 2352441523200. Its totient is φ = 424820118528.

The previous prime is 1014241221029. The next prime is 1014241221073. The reversal of 1014241221056 is 6501221424101.

It is a happy number.

1014241221056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14894735 + ... + 14962673.

Almost surely, 2^{1014241221056} is an apocalyptic number.

1014241221056 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 1014241221056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176220761600).

1014241221056 is an abundant number, since it is smaller than the sum of its proper divisors (1338200302144).

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

1014241221056 is an equidigital number, since it uses as much as digits as its factorization.

1014241221056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68714 (or 68704 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

Adding to 1014241221056 its reverse (6501221424101), we get a palindrome (7515462645157).

The spelling of 1014241221056 in words is "one trillion, fourteen billion, two hundred forty-one million, two hundred twenty-one thousand, fifty-six".