34412223214000 has 640 divisors, whose sum is σ = 90294687055872. Its totient is φ = 12652454707200.

The previous prime is 34412223213989. The next prime is 34412223214049. The reversal of 34412223214000 is 41232221443.

It is a super-2 number, since 2×34412223214000² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34412223214000.

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, 53187361677 + ... + 53187362323.

Almost surely, 2^{34412223214000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34412223214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45147343527936).

34412223214000 is an abundant number, since it is smaller than the sum of its proper divisors (55882463841872).

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

34412223214000 is a wasteful number, since it uses less digits than its factorization.

34412223214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 34412223214000 its reverse (41232221443), we get a palindrome (34453455435443).

The spelling of 34412223214000 in words is "thirty-four trillion, four hundred twelve billion, two hundred twenty-three million, two hundred fourteen thousand".