114229804440 has 256 divisors, whose sum is σ = 355081605120. Its totient is φ = 29380216320.

The previous prime is 114229804399. The next prime is 114229804453. The reversal of 114229804440 is 44408922411.

It is a happy number.

It is a Cunningham number, because it is equal to 337979²-1.

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 63 ways as a sum of consecutive naturals, for example, 234557877 + ... + 234558363.

It is an arithmetic number, because the mean of its divisors is an integer number (1387037520).

Almost surely, 2^114229804440 is an apocalyptic number.

114229804440 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 114229804440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177540802560).

114229804440 is an abundant number, since it is smaller than the sum of its proper divisors (240851800680).

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

114229804440 is a wasteful number, since it uses less digits than its factorization.

114229804440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 114229804440 in words is "one hundred fourteen billion, two hundred twenty-nine million, eight hundred four thousand, four hundred forty".