114003304400 has 240 divisors, whose sum is σ = 285352236288. Its totient is φ = 43739136000.

The previous prime is 114003304399. The next prime is 114003304403. The reversal of 114003304400 is 4403300411.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114003304403) 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 47 ways as a sum of consecutive naturals, for example, 420676265 + ... + 420676535.

Almost surely, 2^114003304400 is an apocalyptic number.

114003304400 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 114003304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142676118144).

114003304400 is an abundant number, since it is smaller than the sum of its proper divisors (171348931888).

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

114003304400 is a wasteful number, since it uses less digits than its factorization.

114003304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 114003304400 its reverse (4403300411), we get a palindrome (118406604811).

The spelling of 114003304400 in words is "one hundred fourteen billion, three million, three hundred four thousand, four hundred".