1414188807120 has 240 divisors, whose sum is σ = 4914292228560. Its totient is φ = 364023668736.

The previous prime is 1414188807047. The next prime is 1414188807127. The reversal of 1414188807120 is 217088814141.

1414188807120 is a `hidden beast` number, since 141 + 418 + 8 + 8 + 0 + 71 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 79165700496 + 1335023106624 = 281364^2 + 1155432^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414188807127) 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, 149851042 + ... + 149860478.

It is an arithmetic number, because the mean of its divisors is an integer number (20476217619).

Almost surely, 2^{1414188807120} is an apocalyptic number.

1414188807120 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 1414188807120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457146114280).

1414188807120 is an abundant number, since it is smaller than the sum of its proper divisors (3500103421440).

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

1414188807120 is a wasteful number, since it uses less digits than its factorization.

1414188807120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16662 (or 16653 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The spelling of 1414188807120 in words is "one trillion, four hundred fourteen billion, one hundred eighty-eight million, eight hundred seven thousand, one hundred twenty".