114040322400 has 144 divisors (see below), whose sum is σ = 371460600000. Its totient is φ = 30389506560.

The previous prime is 114040322329. The next prime is 114040322423. The reversal of 114040322400 is 4223040411.

It is a congruent number.

It is an unprimeable number.

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, 3581751 + ... + 3613449.

It is an arithmetic number, because the mean of its divisors is an integer number (2579587500).

Almost surely, 2^114040322400 is an apocalyptic number.

114040322400 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 114040322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185730300000).

114040322400 is an abundant number, since it is smaller than the sum of its proper divisors (257420277600).

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

114040322400 is a wasteful number, since it uses less digits than its factorization.

114040322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33221 (or 33208 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 114040322400 its reverse (4223040411), we get a palindrome (118263362811).

The spelling of 114040322400 in words is "one hundred fourteen billion, forty million, three hundred twenty-two thousand, four hundred".