114313005224040 has 384 divisors, whose sum is σ = 420022377936000. Its totient is φ = 24747771912192.

The previous prime is 114313005224039. The next prime is 114313005224051. The reversal of 114313005224040 is 40422500313411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114313005223989 and 114313005224007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 492457444 + ... + 492689516.

It is an arithmetic number, because the mean of its divisors is an integer number (1093808275875).

Almost surely, 2^{114313005224040} is an apocalyptic number.

114313005224040 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 114313005224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210011188968000).

114313005224040 is an abundant number, since it is smaller than the sum of its proper divisors (305709372711960).

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

114313005224040 is a wasteful number, since it uses less digits than its factorization.

114313005224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236529 (or 236518 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 114313005224040 its reverse (40422500313411), we get a palindrome (154735505537451).

The spelling of 114313005224040 in words is "one hundred fourteen trillion, three hundred thirteen billion, five million, two hundred twenty-four thousand, forty".