1114102400 has 96 divisors (see below), whose sum is σ = 2804535900. Its totient is φ = 437166080.

The previous prime is 1114102357. The next prime is 1114102403. The reversal of 1114102400 is 42014111.

It can be written as a sum of positive squares in 6 ways, for example, as 778186816 + 335915584 = 27896^2 + 18328^2 .

It is not an unprimeable number, because it can be changed into a prime (1114102403) 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 11 ways as a sum of consecutive naturals, for example, 166316 + ... + 172884.

Almost surely, 2^1114102400 is an apocalyptic number.

1114102400 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 1114102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402267950).

1114102400 is an abundant number, since it is smaller than the sum of its proper divisors (1690433500).

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

1114102400 is an equidigital number, since it uses as much as digits as its factorization.

1114102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6646 (or 6629 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1114102400 is about 33378.1725083924. The cubic root of 1114102400 is about 1036.6727988159.

Adding to 1114102400 its reverse (42014111), we get a palindrome (1156116511).

The spelling of 1114102400 in words is "one billion, one hundred fourteen million, one hundred two thousand, four hundred".