334010445420100 has 72 divisors (see below), whose sum is σ = 734788637704800. Its totient is φ = 131763730970880.

The previous prime is 334010445420023. The next prime is 334010445420133. The reversal of 334010445420100 is 1024544010433.

It is a super-2 number, since 2×334010445420100² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92389119 + ... + 95936281.

It is an arithmetic number, because the mean of its divisors is an integer number (10205397745900).

Almost surely, 2^{334010445420100} 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 334010445420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367394318852400).

334010445420100 is an abundant number, since it is smaller than the sum of its proper divisors (400778192284700).

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

334010445420100 is a wasteful number, since it uses less digits than its factorization.

334010445420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560149 (or 3560142 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 334010445420100 its reverse (1024544010433), we get a palindrome (335034989430533).

The spelling of 334010445420100 in words is "three hundred thirty-four trillion, ten billion, four hundred forty-five million, four hundred twenty thousand, one hundred".