114429069440 has 128 divisors (see below), whose sum is σ = 312811804800. Its totient is φ = 39210835968.

The previous prime is 114429069389. The next prime is 114429069463. The reversal of 114429069440 is 44960924411.

114429069440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 114429069391 and 114429069400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9352607 + ... + 9364833.

It is an arithmetic number, because the mean of its divisors is an integer number (2443842225).

Almost surely, 2^114429069440 is an apocalyptic number.

114429069440 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 114429069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156405902400).

114429069440 is an abundant number, since it is smaller than the sum of its proper divisors (198382735360).

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

114429069440 is a wasteful number, since it uses less digits than its factorization.

114429069440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14342 (or 14330 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 114429069440 in words is "one hundred fourteen billion, four hundred twenty-nine million, sixty-nine thousand, four hundred forty".