1412014400 has 84 divisors (see below), whose sum is σ = 3518733120. Its totient is φ = 557606400.

The previous prime is 1412014361. The next prime is 1412014423. The reversal of 1412014400 is 44102141.

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, 120815 + ... + 131985.

It is an arithmetic number, because the mean of its divisors is an integer number (41889680).

Almost surely, 2^1412014400 is an apocalyptic number.

1412014400 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 1412014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759366560).

1412014400 is an abundant number, since it is smaller than the sum of its proper divisors (2106718720).

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

1412014400 is a wasteful number, since it uses less digits than its factorization.

1412014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11272 (or 11257 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1412014400 is about 37576.7800642897. The cubic root of 1412014400 is about 1121.8799210167.

Adding to 1412014400 its reverse (44102141), we get a palindrome (1456116541).

The spelling of 1412014400 in words is "one billion, four hundred twelve million, fourteen thousand, four hundred".