114144040403120 has 160 divisors (see below), whose sum is σ = 328053887790720. Its totient is φ = 35966956953600.

The previous prime is 114144040403069. The next prime is 114144040403143. The reversal of 114144040403120 is 21304040441411.

It is a happy number.

It is a super-3 number, since 3×114144040403120³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32566781 + ... + 35901020.

It is an arithmetic number, because the mean of its divisors is an integer number (2050336798692).

Almost surely, 2^{114144040403120} is an apocalyptic number.

114144040403120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114144040403120 is an abundant number, since it is smaller than the sum of its proper divisors (213909847387600).

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

114144040403120 is a wasteful number, since it uses less digits than its factorization.

114144040403120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68468063 (or 68468057 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 114144040403120 its reverse (21304040441411), we get a palindrome (135448080844531).

The spelling of 114144040403120 in words is "one hundred fourteen trillion, one hundred forty-four billion, forty million, four hundred three thousand, one hundred twenty".