1414000080 has 60 divisors (see below), whose sum is σ = 4748686020. Its totient is φ = 377066496.

The previous prime is 1414000079. The next prime is 1414000097. The reversal of 1414000080 is 800004141.

It can be written as a sum of positive squares in 2 ways, for example, as 316270656 + 1097729424 = 17784^2 + 33132^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 981225 + ... + 982664.

It is an arithmetic number, because the mean of its divisors is an integer number (79144767).

Almost surely, 2^1414000080 is an apocalyptic number.

1414000080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1414000080 is an abundant number, since it is smaller than the sum of its proper divisors (3334685940).

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

1414000080 is a wasteful number, since it uses less digits than its factorization.

1414000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963908 (or 1963899 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1414000080 is about 37603.1924176658. The cubic root of 1414000080 is about 1122.4055651099.

The spelling of 1414000080 in words is "one billion, four hundred fourteen million, eighty", and thus it is an aban number.