1114219440 has 480 divisors, whose sum is σ = 4251424320. Its totient is φ = 260112384.

The previous prime is 1114219417. The next prime is 1114219441. The reversal of 1114219440 is 449124111.

1114219440 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 219 + 440 = 666.

It is not an unprimeable number, because it can be changed into a prime (1114219441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15263244 + ... + 15263316.

It is an arithmetic number, because the mean of its divisors is an integer number (8857134).

Almost surely, 2^1114219440 is an apocalyptic number.

1114219440 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 1114219440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125712160).

1114219440 is an abundant number, since it is smaller than the sum of its proper divisors (3137204880).

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

1114219440 is a wasteful number, since it uses less digits than its factorization.

1114219440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1114219440 is about 33379.9257039317. The cubic root of 1114219440 is about 1036.7090994695.

The spelling of 1114219440 in words is "one billion, one hundred fourteen million, two hundred nineteen thousand, four hundred forty".