1214054400 has 408 divisors, whose sum is σ = 4550785120. Its totient is φ = 283115520.

The previous prime is 1214054393. The next prime is 1214054431. The reversal of 1214054400 is 44504121.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63897591 + ... + 63897609.

Almost surely, 2^1214054400 is an apocalyptic number.

1214054400 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 1214054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275392560).

1214054400 is an abundant number, since it is smaller than the sum of its proper divisors (3336730720).

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

1214054400 is an equidigital number, since it uses as much as digits as its factorization.

1214054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 1214054400 is about 34843.2834273695. The cubic root of 1214054400 is about 1066.7910965954.

Adding to 1214054400 its reverse (44504121), we get a palindrome (1258558521).

The spelling of 1214054400 in words is "one billion, two hundred fourteen million, fifty-four thousand, four hundred".