1414114100 has 144 divisors (see below), whose sum is σ = 3657265920. Its totient is φ = 464486400.

The previous prime is 1414114087. The next prime is 1414114103. The reversal of 1414114100 is 14114141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414114103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1838516 + ... + 1839284.

It is an arithmetic number, because the mean of its divisors is an integer number (25397680).

Almost surely, 2^1414114100 is an apocalyptic number.

1414114100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828632960).

1414114100 is an abundant number, since it is smaller than the sum of its proper divisors (2243151820).

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

1414114100 is a wasteful number, since it uses less digits than its factorization.

1414114100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 1414114100 is about 37604.7084817846. The cubic root of 1414114100 is about 1122.4357332465.

Adding to 1414114100 its reverse (14114141), we get a palindrome (1428228241).

The spelling of 1414114100 in words is "one billion, four hundred fourteen million, one hundred fourteen thousand, one hundred".