4142766054401 has 8 divisors (see below), whose sum is σ = 4463012996904. Its totient is φ = 3822743773440.

The previous prime is 4142766054389. The next prime is 4142766054443. The reversal of 4142766054401 is 1044506672414.

It can be written as a sum of positive squares in 4 ways, for example, as 16180094401 + 4126585960000 = 127201^2 + 2031400^2 .

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 4142766054401 - 2³⁰ = 4141692312577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4142766054461) 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, 56127080 + ... + 56200841.

It is an arithmetic number, because the mean of its divisors is an integer number (557876624613).

Almost surely, 2^{4142766054401} is an apocalyptic number.

It is an amenable number.

4142766054401 is a deficient number, since it is larger than the sum of its proper divisors (320246942503).

4142766054401 is a wasteful number, since it uses less digits than its factorization.

4142766054401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112330771.

The product of its (nonzero) digits is 645120, while the sum is 44.

The spelling of 4142766054401 in words is "four trillion, one hundred forty-two billion, seven hundred sixty-six million, fifty-four thousand, four hundred one".