4066264200040 has 64 divisors (see below), whose sum is σ = 10459058371200. Its totient is φ = 1393754335488.

The previous prime is 4066264200029. The next prime is 4066264200041. The reversal of 4066264200040 is 400024626604.

4066264200040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4066264200040² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4066264199969 and 4066264200005.

It is not an unprimeable number, because it can be changed into a prime (4066264200041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1053975 + ... + 3040294.

It is an arithmetic number, because the mean of its divisors is an integer number (163422787050).

Almost surely, 2^{4066264200040} is an apocalyptic number.

4066264200040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4066264200040 is an abundant number, since it is smaller than the sum of its proper divisors (6392794171160).

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

4066264200040 is a wasteful number, since it uses less digits than its factorization.

4066264200040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4097834 (or 4097830 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 4066264200040 its reverse (400024626604), we get a palindrome (4466288826644).

The spelling of 4066264200040 in words is "four trillion, sixty-six billion, two hundred sixty-four million, two hundred thousand, forty".