114334300224040 has 128 divisors (see below), whose sum is σ = 289278954720000. Its totient is φ = 40353330124800.

The previous prime is 114334300224013. The next prime is 114334300224061. The reversal of 114334300224040 is 40422003433411.

It is a junction number, because it is equal to n+sod(n) for n = 114334300223993 and 114334300224011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14739340 + ... + 21116740.

It is an arithmetic number, because the mean of its divisors is an integer number (2259991833750).

Almost surely, 2^{114334300224040} is an apocalyptic number.

114334300224040 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 114334300224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144639477360000).

114334300224040 is an abundant number, since it is smaller than the sum of its proper divisors (174944654495960).

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

114334300224040 is a wasteful number, since it uses less digits than its factorization.

114334300224040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6378947 (or 6378943 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 114334300224040 its reverse (40422003433411), we get a palindrome (154756303657451).

The spelling of 114334300224040 in words is "one hundred fourteen trillion, three hundred thirty-four billion, three hundred million, two hundred twenty-four thousand, forty".