1014642041201 has 8 divisors (see below), whose sum is σ = 1074335662440. Its totient is φ = 954949397248.

The previous prime is 1014642041141. The next prime is 1014642041207. The reversal of 1014642041201 is 1021402464101.

1014642041201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 385888197601 + 628753843600 = 621199^2 + 792940^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1014642041201 - 2¹⁰ = 1014642040177 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1014642041207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3996095 + ... + 4242411.

It is an arithmetic number, because the mean of its divisors is an integer number (134291957805).

Almost surely, 2^{1014642041201} is an apocalyptic number.

It is an amenable number.

1014642041201 is a deficient number, since it is larger than the sum of its proper divisors (59693621239).

1014642041201 is a wasteful number, since it uses less digits than its factorization.

1014642041201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488643.

The product of its (nonzero) digits is 1536, while the sum is 26.

The spelling of 1014642041201 in words is "one trillion, fourteen billion, six hundred forty-two million, forty-one thousand, two hundred one".