114404410240 has 128 divisors (see below), whose sum is σ = 280779333120. Its totient is φ = 44550481920.

The previous prime is 114404410223. The next prime is 114404410243. The reversal of 114404410240 is 42014404411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114404410243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8552037 + ... + 8565403.

It is an arithmetic number, because the mean of its divisors is an integer number (2193588540).

Almost surely, 2^114404410240 is an apocalyptic number.

114404410240 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 114404410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140389666560).

114404410240 is an abundant number, since it is smaller than the sum of its proper divisors (166374922880).

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

114404410240 is a wasteful number, since it uses less digits than its factorization.

114404410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13740 (or 13728 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 114404410240 its reverse (42014404411), we get a palindrome (156418814651).

The spelling of 114404410240 in words is "one hundred fourteen billion, four hundred four million, four hundred ten thousand, two hundred forty".