4000213221005 has 8 divisors (see below), whose sum is σ = 4801341676824. Its totient is φ = 3199446702400.

The previous prime is 4000213220981. The next prime is 4000213221023. The reversal of 4000213221005 is 5001223120004.

It can be written as a sum of positive squares in 4 ways, for example, as 136732071529 + 3863481149476 = 369773^2 + 1965574^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4000213221005 - 2¹⁶ = 4000213155469 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90459986 + ... + 90504195.

It is an arithmetic number, because the mean of its divisors is an integer number (600167709603).

Almost surely, 2^{4000213221005} is an apocalyptic number.

It is an amenable number.

4000213221005 is a deficient number, since it is larger than the sum of its proper divisors (801128455819).

4000213221005 is a wasteful number, since it uses less digits than its factorization.

4000213221005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180968607.

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 4000213221005 its reverse (5001223120004), we get a palindrome (9001436341009).

The spelling of 4000213221005 in words is "four trillion, two hundred thirteen million, two hundred twenty-one thousand, five".