114404141004 has 48 divisors (see below), whose sum is σ = 267595319040. Its totient is φ = 38041600320.

The previous prime is 114404140999. The next prime is 114404141009. The reversal of 114404141004 is 400141404411.

It is an interprime number because it is at equal distance from previous prime (114404140999) and next prime (114404141009).

It is a super-2 number, since 2×114404141004² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114404141009) 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 15 ways as a sum of consecutive naturals, for example, 20342937 + ... + 20348559.

It is an arithmetic number, because the mean of its divisors is an integer number (5574902480).

Almost surely, 2^114404141004 is an apocalyptic number.

It is an amenable number.

114404141004 is an abundant number, since it is smaller than the sum of its proper divisors (153191178036).

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

114404141004 is a wasteful number, since it uses less digits than its factorization.

114404141004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9470 (or 9468 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 114404141004 its reverse (400141404411), we get a palindrome (514545545415).

The spelling of 114404141004 in words is "one hundred fourteen billion, four hundred four million, one hundred forty-one thousand, four".