1414214400 has 216 divisors, whose sum is σ = 4735825360. Its totient is φ = 371589120.

The previous prime is 1414214387. The next prime is 1414214413. The reversal of 1414214400 is 44124141.

It is an interprime number because it is at equal distance from previous prime (1414214387) and next prime (1414214413).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1401096 + ... + 1402104.

Almost surely, 2^1414214400 is an apocalyptic number.

1414214400 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 1414214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367912680).

1414214400 is an abundant number, since it is smaller than the sum of its proper divisors (3321610960).

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

1414214400 is a wasteful number, since it uses less digits than its factorization.

1414214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1414214400 is about 37606.0420677316. The cubic root of 1414214400 is about 1122.4622699176.

Adding to 1414214400 its reverse (44124141), we get a palindrome (1458338541).

The spelling of 1414214400 in words is "one billion, four hundred fourteen million, two hundred fourteen thousand, four hundred".