4014214101 has 48 divisors (see below), whose sum is σ = 6128544240. Its totient is φ = 2528547840.

The previous prime is 4014214079. The next prime is 4014214103. The reversal of 4014214101 is 1014124104.

It can be written as a sum of positive squares in 8 ways, for example, as 864900 + 4013349201 = 930^2 + 63351^2 .

It is not a de Polignac number, because 4014214101 - 2⁵ = 4014214069 is a prime.

It is a super-2 number, since 2×4014214101² = 32227829697334476402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4014214103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3672111 + ... + 3673203.

It is an arithmetic number, because the mean of its divisors is an integer number (127678005).

Almost surely, 2^4014214101 is an apocalyptic number.

4014214101 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4014214101 is a deficient number, since it is larger than the sum of its proper divisors (2114330139).

4014214101 is a wasteful number, since it uses less digits than its factorization.

4014214101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4014214101 is about 63357.8258859945. The cubic root of 4014214101 is about 1589.2791190422.

Adding to 4014214101 its reverse (1014124104), we get a palindrome (5028338205).

The spelling of 4014214101 in words is "four billion, fourteen million, two hundred fourteen thousand, one hundred one".