1414140400 has 60 divisors (see below), whose sum is σ = 3410004712. Its totient is φ = 563569920.

The previous prime is 1414140383. The next prime is 1414140443. The reversal of 1414140400 is 40414141.

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, 104419 + ... + 117181.

Almost surely, 2^1414140400 is an apocalyptic number.

1414140400 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 1414140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705002356).

1414140400 is an abundant number, since it is smaller than the sum of its proper divisors (1995864312).

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

1414140400 is a wasteful number, since it uses less digits than its factorization.

1414140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13058 (or 13047 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1414140400 is about 37605.0581704111. The cubic root of 1414140400 is about 1122.4426916376.

Adding to 1414140400 its reverse (40414141), we get a palindrome (1454554541).

The spelling of 1414140400 in words is "one billion, four hundred fourteen million, one hundred forty thousand, four hundred".