401101413121409 has 64 divisors (see below), whose sum is σ = 542548112988672. Its totient is φ = 286362158284800.

The previous prime is 401101413121393. The next prime is 401101413121417. The reversal of 401101413121409 is 904121314101104.

It is not a de Polignac number, because 401101413121409 - 2⁴ = 401101413121393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (401101413121459) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146528609 + ... + 149240865.

It is an arithmetic number, because the mean of its divisors is an integer number (8477314265448).

Almost surely, 2^{401101413121409} is an apocalyptic number.

It is an amenable number.

401101413121409 is a deficient number, since it is larger than the sum of its proper divisors (141446699867263).

401101413121409 is a wasteful number, since it uses less digits than its factorization.

401101413121409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713386.

The product of its (nonzero) digits is 3456, while the sum is 32.

The spelling of 401101413121409 in words is "four hundred one trillion, one hundred one billion, four hundred thirteen million, one hundred twenty-one thousand, four hundred nine".