1414141416 has 96 divisors (see below), whose sum is σ = 3994754400. Its totient is φ = 468659520.

The previous prime is 1414141411. The next prime is 1414141429. The reversal of 1414141416 is 6141414141.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 1414141416.

It is not an unprimeable number, because it can be changed into a prime (1414141411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349855 + ... + 353873.

It is an arithmetic number, because the mean of its divisors is an integer number (41612025).

Almost surely, 2^1414141416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414141416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997377200).

1414141416 is an abundant number, since it is smaller than the sum of its proper divisors (2580612984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1414141416 is a wasteful number, since it uses less digits than its factorization.

1414141416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4221 (or 4205 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 1414141416 is about 37605.0716792297. The cubic root of 1414141416 is about 1122.4429604467.

Adding to 1414141416 its reverse (6141414141), we get a palindrome (7555555557).

The spelling of 1414141416 in words is "one billion, four hundred fourteen million, one hundred forty-one thousand, four hundred sixteen".