114434430404000 has 192 divisors, whose sum is σ = 321370665557760. Its totient is φ = 39229926220800.

The previous prime is 114434430403991. The next prime is 114434430404057. The reversal of 114434430404000 is 404034434411.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 235769567 + ... + 236254433.

It is an arithmetic number, because the mean of its divisors is an integer number (1673805549780).

Almost surely, 2^{114434430404000} is an apocalyptic number.

114434430404000 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 114434430404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160685332778880).

114434430404000 is an abundant number, since it is smaller than the sum of its proper divisors (206936235153760).

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

114434430404000 is an equidigital number, since it uses as much as digits as its factorization.

114434430404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493328 (or 493310 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 114434430404000 its reverse (404034434411), we get a palindrome (114838464838411).

The spelling of 114434430404000 in words is "one hundred fourteen trillion, four hundred thirty-four billion, four hundred thirty million, four hundred four thousand".