114122414413040 has 40 divisors (see below), whose sum is σ = 289455942013488. Its totient is φ = 41499059786240.

The previous prime is 114122414413037. The next prime is 114122414413129. The reversal of 114122414413040 is 40314414221411.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 114122414412988 and 114122414413006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64842280037 + ... + 64842281796.

Almost surely, 2^{114122414413040} is an apocalyptic number.

114122414413040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114122414413040 is an abundant number, since it is smaller than the sum of its proper divisors (175333527600448).

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

114122414413040 is a wasteful number, since it uses less digits than its factorization.

114122414413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129684561857 (or 129684561851 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 114122414413040 its reverse (40314414221411), we get a palindrome (154436828634451).

The spelling of 114122414413040 in words is "one hundred fourteen trillion, one hundred twenty-two billion, four hundred fourteen million, four hundred thirteen thousand, forty".