4013223214000 has 640 divisors, whose sum is σ = 13137583140864. Its totient is φ = 1154583936000.

The previous prime is 4013223213997. The next prime is 4013223214069. The reversal of 4013223214000 is 4123223104.

It is a super-2 number, since 2×4013223214000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 242233717 + ... + 242250283.

Almost surely, 2^{4013223214000} is an apocalyptic number.

4013223214000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013223214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6568791570432).

4013223214000 is an abundant number, since it is smaller than the sum of its proper divisors (9124359926864).

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

4013223214000 is a wasteful number, since it uses less digits than its factorization.

4013223214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16643 (or 16605 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 4013223214000 its reverse (4123223104), we get a palindrome (4017346437104).

The spelling of 4013223214000 in words is "four trillion, thirteen billion, two hundred twenty-three million, two hundred fourteen thousand".