1214440128 has 336 divisors, whose sum is σ = 4082856960. Its totient is φ = 354585600.

The previous prime is 1214440093. The next prime is 1214440153. The reversal of 1214440128 is 8210444121.

1214440128 is a `hidden beast` number, since 1 + 214 + 440 + 1 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 5303118 + ... + 5303346.

It is an arithmetic number, because the mean of its divisors is an integer number (12151360).

Almost surely, 2^1214440128 is an apocalyptic number.

1214440128 is a gapful number since it is divisible by the number (18) 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 1214440128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041428480).

1214440128 is an abundant number, since it is smaller than the sum of its proper divisors (2868416832).

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

1214440128 is a wasteful number, since it uses less digits than its factorization.

1214440128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1214440128 is about 34848.8181722135. The cubic root of 1214440128 is about 1066.9040645218.

Adding to 1214440128 its reverse (8210444121), we get a palindrome (9424884249).

The spelling of 1214440128 in words is "one billion, two hundred fourteen million, four hundred forty thousand, one hundred twenty-eight".