1414234400 has 72 divisors (see below), whose sum is σ = 3466746864. Its totient is φ = 563360000.

The previous prime is 1414234399. The next prime is 1414234411. The reversal of 1414234400 is 44324141.

It is a happy 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, 197279 + ... + 204321.

It is an arithmetic number, because the mean of its divisors is an integer number (48149262).

Almost surely, 2^1414234400 is an apocalyptic number.

1414234400 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 1414234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733373432).

1414234400 is an abundant number, since it is smaller than the sum of its proper divisors (2052512464).

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

1414234400 is a wasteful number, since it uses less digits than its factorization.

1414234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7314 (or 7301 counting only the distinct ones).

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

The square root of 1414234400 is about 37606.3079815076. The cubic root of 1414234400 is about 1122.4675612274.

Adding to 1414234400 its reverse (44324141), we get a palindrome (1458558541).

The spelling of 1414234400 in words is "one billion, four hundred fourteen million, two hundred thirty-four thousand, four hundred".