4020460640406 has 96 divisors (see below), whose sum is σ = 10027515633408. Its totient is φ = 1140406724160.

The previous prime is 4020460640401. The next prime is 4020460640437. The reversal of 4020460640406 is 6040460640204.

It is a happy number.

4020460640406 is a `hidden beast` number, since 4 + 0 + 2 + 0 + 4 + 6 + 0 + 640 + 4 + 0 + 6 = 666.

It is a super-2 number, since 2×4020460640406² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4020460640401) 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 47 ways as a sum of consecutive naturals, for example, 13236961 + ... + 13537283.

It is an arithmetic number, because the mean of its divisors is an integer number (104453287848).

Almost surely, 2^{4020460640406} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4020460640406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5013757816704).

4020460640406 is an abundant number, since it is smaller than the sum of its proper divisors (6007054993002).

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

4020460640406 is a wasteful number, since it uses less digits than its factorization.

4020460640406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301106 (or 301103 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 4020460640406 in words is "four trillion, twenty billion, four hundred sixty million, six hundred forty thousand, four hundred six".