1414342400 has 108 divisors (see below), whose sum is σ = 3515941632. Its totient is φ = 563281920.

The previous prime is 1414342399. The next prime is 1414342409. The reversal of 1414342400 is 42434141.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414342409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2450912 + ... + 2451488.

Almost surely, 2^1414342400 is an apocalyptic number.

1414342400 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 1414342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757970816).

1414342400 is an abundant number, since it is smaller than the sum of its proper divisors (2101599232).

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

1414342400 is an equidigital number, since it uses as much as digits as its factorization.

1414342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 1414342400 is about 37607.7438834078. The cubic root of 1414342400 is about 1122.4961334384.

Adding to 1414342400 its reverse (42434141), we get a palindrome (1456776541).

The spelling of 1414342400 in words is "one billion, four hundred fourteen million, three hundred forty-two thousand, four hundred".