114011430143040 has 84 divisors (see below), whose sum is σ = 392151814939404. Its totient is φ = 30403048037376.

The previous prime is 114011430142963. The next prime is 114011430143047. The reversal of 114011430143040 is 40341034110411.

114011430143040 is a `hidden beast` number, since 1 + 1 + 40 + 1 + 14 + 301 + 4 + 304 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 76098545008704 + 37912885134336 = 8723448^2 + 6157344^2 .

It is a super-2 number, since 2×114011430143040² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114011430142995 and 114011430143013.

It is not an unprimeable number, because it can be changed into a prime (114011430143047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19793648187 + ... + 19793653946.

Almost surely, 2^{114011430143040} is an apocalyptic number.

114011430143040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114011430143040 is an abundant number, since it is smaller than the sum of its proper divisors (278140384796364).

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

114011430143040 is a wasteful number, since it uses less digits than its factorization.

114011430143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39587302156 (or 39587302143 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 114011430143040 its reverse (40341034110411), we get a palindrome (154352464253451).

The spelling of 114011430143040 in words is "one hundred fourteen trillion, eleven billion, four hundred thirty million, one hundred forty-three thousand, forty".