1414413140100 has 144 divisors (see below), whose sum is σ = 4244548331520. Its totient is φ = 363219046400.

The previous prime is 1414413140057. The next prime is 1414413140111. The reversal of 1414413140100 is 10413144141.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3119860 + ... + 3544340.

It is an arithmetic number, because the mean of its divisors is an integer number (29476030080).

Almost surely, 2^{1414413140100} is an apocalyptic number.

1414413140100 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 1414413140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122274165760).

1414413140100 is an abundant number, since it is smaller than the sum of its proper divisors (2830135191420).

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

1414413140100 is a wasteful number, since it uses less digits than its factorization.

1414413140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424910 (or 424903 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1414413140100 its reverse (10413144141), we get a palindrome (1424826284241).

The spelling of 1414413140100 in words is "one trillion, four hundred fourteen billion, four hundred thirteen million, one hundred forty thousand, one hundred".