102414411414 has 144 divisors (see below), whose sum is σ = 275661754368. Its totient is φ = 26899133184.

The previous prime is 102414411403. The next prime is 102414411419. The reversal of 102414411414 is 414114414201.

102414411414 is a `hidden beast` number, since 1 + 0 + 241 + 4 + 4 + 1 + 1 + 414 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102414411419) 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 71 ways as a sum of consecutive naturals, for example, 1533099 + ... + 1598505.

Almost surely, 2^102414411414 is an apocalyptic number.

102414411414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102414411414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137830877184).

102414411414 is an abundant number, since it is smaller than the sum of its proper divisors (173247342954).

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

102414411414 is a wasteful number, since it uses less digits than its factorization.

102414411414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65499 (or 65479 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 102414411414 its reverse (414114414201), we get a palindrome (516528825615).

The spelling of 102414411414 in words is "one hundred two billion, four hundred fourteen million, four hundred eleven thousand, four hundred fourteen".