4200114410440 has 64 divisors (see below), whose sum is σ = 10209715714800. Its totient is φ = 1545856745472.

The previous prime is 4200114410423. The next prime is 4200114410467. The reversal of 4200114410440 is 440144110024.

It can be written as a sum of positive squares in 8 ways, for example, as 210180070116 + 3989934340324 = 458454^2 + 1997482^2 .

It is a super-3 number, since 3×4200114410440³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 15 ways as a sum of consecutive naturals, for example, 12740025 + ... + 13065544.

Almost surely, 2^{4200114410440} is an apocalyptic number.

4200114410440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4200114410440 is an abundant number, since it is smaller than the sum of its proper divisors (6009601304360).

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

4200114410440 is a wasteful number, since it uses less digits than its factorization.

4200114410440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25805906 (or 25805902 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 4200114410440 its reverse (440144110024), we get a palindrome (4640258520464).

The spelling of 4200114410440 in words is "four trillion, two hundred billion, one hundred fourteen million, four hundred ten thousand, four hundred forty".