1214400000 has 480 divisors, whose sum is σ = 4603205376. Its totient is φ = 281600000.

The previous prime is 1214399933. The next prime is 1214400001. The reversal of 1214400000 is 44121.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214400001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52799989 + ... + 52800011.

Almost surely, 2^1214400000 is an apocalyptic number.

1214400000 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 1214400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301602688).

1214400000 is an abundant number, since it is smaller than the sum of its proper divisors (3388805376).

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

1214400000 is an frugal number, since it uses more digits than its factorization.

1214400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1214400000 is about 34848.2424233992. The cubic root of 1214400000 is about 1066.8923133736.

Adding to 1214400000 its reverse (44121), we get a palindrome (1214444121).

The spelling of 1214400000 in words is "one billion, two hundred fourteen million, four hundred thousand".