1414000000 has 224 divisors, whose sum is σ = 4064010480. Its totient is φ = 480000000.

The previous prime is 1413999991. The next prime is 1414000001. The reversal of 1414000000 is 4141.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414000001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 13999950 + ... + 14000050.

Almost surely, 2^1414000000 is an apocalyptic number.

1414000000 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 1414000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032005240).

1414000000 is an abundant number, since it is smaller than the sum of its proper divisors (2650010480).

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

1414000000 is an frugal number, since it uses more digits than its factorization.

1414000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1414000000 is about 37603.1913539263. The cubic root of 1414000000 is about 1122.4055439424.

Adding to 1414000000 its reverse (4141), we get a palindrome (1414004141).

It can be divided in two parts, 14 and 14000000, that multiplied together give a square (196000000 = 14000²).

The spelling of 1414000000 in words is "one billion, four hundred fourteen million", and thus it is an aban number.