4101456634401 has 16 divisors (see below), whose sum is σ = 6320061590400. Its totient is φ = 2317355914368.

The previous prime is 4101456634333. The next prime is 4101456634417. The reversal of 4101456634401 is 1044366541014.

4101456634401 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4101456634401 - 2⁷ = 4101456634273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4101456634401.

It is not an unprimeable number, because it can be changed into a prime (4101456632401) 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 15 ways as a sum of consecutive naturals, for example, 1097231046 + ... + 1097234783.

It is an arithmetic number, because the mean of its divisors is an integer number (395003849400).

Almost surely, 2^{4101456634401} is an apocalyptic number.

It is an amenable number.

4101456634401 is a deficient number, since it is larger than the sum of its proper divisors (2218604955999).

4101456634401 is a wasteful number, since it uses less digits than its factorization.

4101456634401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194465928.

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 4101456634401 in words is "four trillion, one hundred one billion, four hundred fifty-six million, six hundred thirty-four thousand, four hundred one".