1114132400 has 120 divisors (see below), whose sum is σ = 2883230640. Its totient is φ = 412180480.

The previous prime is 1114132391. The next prime is 1114132423. The reversal of 1114132400 is 42314111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 399812 + ... + 402588.

It is an arithmetic number, because the mean of its divisors is an integer number (24026922).

Almost surely, 2^1114132400 is an apocalyptic number.

1114132400 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 1114132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441615320).

1114132400 is an abundant number, since it is smaller than the sum of its proper divisors (1769098240).

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

1114132400 is a wasteful number, since it uses less digits than its factorization.

1114132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2871 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1114132400 is about 33378.6219008514. The cubic root of 1114132400 is about 1036.6821037370.

Adding to 1114132400 its reverse (42314111), we get a palindrome (1156446511).

The spelling of 1114132400 in words is "one billion, one hundred fourteen million, one hundred thirty-two thousand, four hundred".