114530004400 has 120 divisors (see below), whose sum is σ = 314735249504. Its totient is φ = 39233894400.

The previous prime is 114530004397. The next prime is 114530004403. The reversal of 114530004400 is 4400035411.

It is an interprime number because it is at equal distance from previous prime (114530004397) and next prime (114530004403).

It is not an unprimeable number, because it can be changed into a prime (114530004403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3379540 + ... + 3413260.

Almost surely, 2^114530004400 is an apocalyptic number.

114530004400 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 114530004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157367624752).

114530004400 is an abundant number, since it is smaller than the sum of its proper divisors (200205245104).

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

114530004400 is a wasteful number, since it uses less digits than its factorization.

114530004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34959 (or 34948 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 114530004400 its reverse (4400035411), we get a palindrome (118930039811).

The spelling of 114530004400 in words is "one hundred fourteen billion, five hundred thirty million, four thousand, four hundred".