4642541666401 has 8 divisors (see below), whose sum is σ = 4802674259880. Its totient is φ = 4482412069632.

The previous prime is 4642541666363. The next prime is 4642541666407. The reversal of 4642541666401 is 1046661452464.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1102306401 + 4641439360000 = 33201^2 + 2154400^2 .

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 4642541666401 - 2²³ = 4642533277793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4642541666407) 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, 2666731 + ... + 4049263.

It is an arithmetic number, because the mean of its divisors is an integer number (600334282485).

Almost surely, 2^{4642541666401} is an apocalyptic number.

It is an amenable number.

4642541666401 is a deficient number, since it is larger than the sum of its proper divisors (160132593479).

4642541666401 is a wasteful number, since it uses less digits than its factorization.

4642541666401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498355.

The product of its (nonzero) digits is 3317760, while the sum is 49.

The spelling of 4642541666401 in words is "four trillion, six hundred forty-two billion, five hundred forty-one million, six hundred sixty-six thousand, four hundred one".