114401041600 has 84 divisors (see below), whose sum is σ = 281564791200. Its totient is φ = 45749570560.

The previous prime is 114401041589. The next prime is 114401041609. The reversal of 114401041600 is 6140104411.

It is not an unprimeable number, because it can be changed into a prime (114401041609) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12665886 + ... + 12674914.

It is an arithmetic number, because the mean of its divisors is an integer number (3351961800).

Almost surely, 2^114401041600 is an apocalyptic number.

114401041600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114401041600 is an abundant number, since it is smaller than the sum of its proper divisors (167163749600).

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

114401041600 is an equidigital number, since it uses as much as digits as its factorization.

114401041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16970 (or 16955 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The spelling of 114401041600 in words is "one hundred fourteen billion, four hundred one million, forty-one thousand, six hundred".