4006812072390 has 16 divisors (see below), whose sum is σ = 9616348973808. Its totient is φ = 1068483219296.

The previous prime is 4006812072359. The next prime is 4006812072391. The reversal of 4006812072390 is 932702186004.

4006812072390 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006812072391) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66780201177 + ... + 66780201236.

It is an arithmetic number, because the mean of its divisors is an integer number (601021810863).

Almost surely, 2^{4006812072390} is an apocalyptic number.

4006812072390 is an abundant number, since it is smaller than the sum of its proper divisors (5609536901418).

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

4006812072390 is a wasteful number, since it uses less digits than its factorization.

4006812072390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133560402423.

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 4006812072390 in words is "four trillion, six billion, eight hundred twelve million, seventy-two thousand, three hundred ninety".