1114400320 has 168 divisors, whose sum is σ = 3090242232. Its totient is φ = 381173760.

The previous prime is 1114400297. The next prime is 1114400321. The reversal of 1114400320 is 230044111.

It can be written as a sum of positive squares in 4 ways, for example, as 176570944 + 937829376 = 13288^2 + 30624^2 .

It is a super-2 number, since 2×1114400320² = 2483776146432204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1114400294 and 1114400303.

It is not an unprimeable number, because it can be changed into a prime (1114400321) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 657394 + ... + 659086.

It is an arithmetic number, because the mean of its divisors is an integer number (18394299).

Almost surely, 2^1114400320 is an apocalyptic number.

1114400320 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 1114400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545121116).

1114400320 is an abundant number, since it is smaller than the sum of its proper divisors (1975841912).

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

1114400320 is a wasteful number, since it uses less digits than its factorization.

1114400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1114400320 is about 33382.6350068415. The cubic root of 1114400320 is about 1036.7651954798.

Adding to 1114400320 its reverse (230044111), we get a palindrome (1344444431).

The spelling of 1114400320 in words is "one billion, one hundred fourteen million, four hundred thousand, three hundred twenty".