114010334304400 has 480 divisors, whose sum is σ = 296975794832640. Its totient is φ = 41905790976000.

The previous prime is 114010334304397. The next prime is 114010334304409. The reversal of 114010334304400 is 4403433010411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (114010334304409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30492197731 + ... + 30492201469.

It is an arithmetic number, because the mean of its divisors is an integer number (618699572568).

Almost surely, 2^{114010334304400} is an apocalyptic number.

114010334304400 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 114010334304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148487897416320).

114010334304400 is an abundant number, since it is smaller than the sum of its proper divisors (182965460528240).

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

114010334304400 is a wasteful number, since it uses less digits than its factorization.

114010334304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4443 (or 4432 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 114010334304400 its reverse (4403433010411), we get a palindrome (118413767314811).

The spelling of 114010334304400 in words is "one hundred fourteen trillion, ten billion, three hundred thirty-four million, three hundred four thousand, four hundred".