1414440400 has 30 divisors (see below), whose sum is σ = 3398194022. Its totient is φ = 565776000.

The previous prime is 1414440373. The next prime is 1414440431. The reversal of 1414440400 is 40444141.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 35952016 + 1378488384 = 5996^2 + 37128^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1767651 + ... + 1768450.

Almost surely, 2^1414440400 is an apocalyptic number.

1414440400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1414440400 is an abundant number, since it is smaller than the sum of its proper divisors (1983753622).

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

1414440400 is a wasteful number, since it uses less digits than its factorization.

1414440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3536119 (or 3536108 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 1414440400 is about 37609.0467839854. The cubic root of 1414440400 is about 1122.5220588156.

Adding to 1414440400 its reverse (40444141), we get a palindrome (1454884541).

The spelling of 1414440400 in words is "one billion, four hundred fourteen million, four hundred forty thousand, four hundred".