1114342400 has 264 divisors, whose sum is σ = 3045936000. Its totient is φ = 402554880.

The previous prime is 1114342391. The next prime is 1114342409. The reversal of 1114342400 is 42434111.

It is an interprime number because it is at equal distance from previous prime (1114342391) and next prime (1114342409).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1114342409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14105561 + ... + 14105639.

Almost surely, 2^1114342400 is an apocalyptic number.

1114342400 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 1114342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522968000).

1114342400 is an abundant number, since it is smaller than the sum of its proper divisors (1931593600).

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

1114342400 is a wasteful number, since it uses less digits than its factorization.

1114342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1114342400 is about 33381.7674786701. The cubic root of 1114342400 is about 1036.7472335082.

Adding to 1114342400 its reverse (42434111), we get a palindrome (1156776511).

The spelling of 1114342400 in words is "one billion, one hundred fourteen million, three hundred forty-two thousand, four hundred".