414106771101 has 16 divisors (see below), whose sum is σ = 557548992000. Its totient is φ = 273370966848.

The previous prime is 414106771081. The next prime is 414106771103. The reversal of 414106771101 is 101177601414.

It is not a de Polignac number, because 414106771101 - 2¹⁸ = 414106508957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414106771103) 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, 148500 + ... + 922098.

It is an arithmetic number, because the mean of its divisors is an integer number (34846812000).

Almost surely, 2^414106771101 is an apocalyptic number.

It is an amenable number.

414106771101 is a deficient number, since it is larger than the sum of its proper divisors (143442220899).

414106771101 is a wasteful number, since it uses less digits than its factorization.

414106771101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775348.

The product of its (nonzero) digits is 4704, while the sum is 33.

The spelling of 414106771101 in words is "four hundred fourteen billion, one hundred six million, seven hundred seventy-one thousand, one hundred one".