1414130760 has 192 divisors, whose sum is σ = 5316554880. Its totient is φ = 319288320.

The previous prime is 1414130717. The next prime is 1414130801. The reversal of 1414130760 is 670314141.

It is a happy number.

1414130760 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 205780 + ... + 212540.

It is an arithmetic number, because the mean of its divisors is an integer number (27690390).

Almost surely, 2^1414130760 is an apocalyptic number.

1414130760 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 1414130760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658277440).

1414130760 is an abundant number, since it is smaller than the sum of its proper divisors (3902424120).

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

1414130760 is a wasteful number, since it uses less digits than its factorization.

1414130760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6868 (or 6861 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1414130760 is about 37604.9299959460. The cubic root of 1414130760 is about 1122.4401411195.

The spelling of 1414130760 in words is "one billion, four hundred fourteen million, one hundred thirty thousand, seven hundred sixty".