41214416101 has 8 divisors (see below), whose sum is σ = 42285538008. Its totient is φ = 40146432000.

The previous prime is 41214416093. The next prime is 41214416107. The reversal of 41214416101 is 10161441214.

It can be written as a sum of positive squares in 4 ways, for example, as 92659876 + 41121756225 = 9626^2 + 202785^2 .

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 41214416101 - 2³ = 41214416093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41214416107) 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, 757830 + ... + 810391.

It is an arithmetic number, because the mean of its divisors is an integer number (5285692251).

Almost surely, 2^41214416101 is an apocalyptic number.

41214416101 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

41214416101 is a deficient number, since it is larger than the sum of its proper divisors (1071121907).

41214416101 is a wasteful number, since it uses less digits than its factorization.

41214416101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568903.

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 41214416101 its reverse (10161441214), we get a palindrome (51375857315).

The spelling of 41214416101 in words is "forty-one billion, two hundred fourteen million, four hundred sixteen thousand, one hundred one".