114140541424 has 160 divisors (see below), whose sum is σ = 276327313920. Its totient is φ = 44471725056.

The previous prime is 114140541421. The next prime is 114140541509. The reversal of 114140541424 is 424145041411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114140541421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27884722 + ... + 27888814.

It is an arithmetic number, because the mean of its divisors is an integer number (1727045712).

Almost surely, 2^114140541424 is an apocalyptic number.

114140541424 is a gapful number since it is divisible by the number (14) 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 114140541424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138163656960).

114140541424 is an abundant number, since it is smaller than the sum of its proper divisors (162186772496).

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

114140541424 is a wasteful number, since it uses less digits than its factorization.

114140541424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4407 (or 4401 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

Adding to 114140541424 its reverse (424145041411), we get a palindrome (538285582835).

The spelling of 114140541424 in words is "one hundred fourteen billion, one hundred forty million, five hundred forty-one thousand, four hundred twenty-four".