461400106201 has 8 divisors (see below), whose sum is σ = 464925048264. Its totient is φ = 457885025280.

The previous prime is 461400106157. The next prime is 461400106231. The reversal of 461400106201 is 102601004164.

It can be written as a sum of positive squares in 4 ways, for example, as 270763081801 + 190637024400 = 520349^2 + 436620^2 .

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 461400106201 - 2²¹ = 461398009049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (461400106231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2371336 + ... + 2558521.

It is an arithmetic number, because the mean of its divisors is an integer number (58115631033).

Almost surely, 2^461400106201 is an apocalyptic number.

It is an amenable number.

461400106201 is a deficient number, since it is larger than the sum of its proper divisors (3524942063).

461400106201 is a wasteful number, since it uses less digits than its factorization.

461400106201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930571.

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 461400106201 in words is "four hundred sixty-one billion, four hundred million, one hundred six thousand, two hundred one".