414043042201001 has 8 divisors (see below), whose sum is σ = 421855810062984. Its totient is φ = 406230297857280.

The previous prime is 414043042200973. The next prime is 414043042201021. The reversal of 414043042201001 is 100102240340414.

It can be written as a sum of positive squares in 4 ways, for example, as 108110584845376 + 305932457355625 = 10397624^2 + 17490925^2 .

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 414043042201001 - 2²⁶ = 414042975092137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414043042201021) 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, 31936241 + ... + 42988481.

It is an arithmetic number, because the mean of its divisors is an integer number (52731976257873).

Almost surely, 2^{414043042201001} is an apocalyptic number.

It is an amenable number.

414043042201001 is a deficient number, since it is larger than the sum of its proper divisors (7812767861983).

414043042201001 is a wasteful number, since it uses less digits than its factorization.

414043042201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11759131.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 414043042201001 its reverse (100102240340414), we get a palindrome (514145282541415).

The spelling of 414043042201001 in words is "four hundred fourteen trillion, forty-three billion, forty-two million, two hundred one thousand, one".