334144312020 has 120 divisors (see below), whose sum is σ = 1050042697704. Its totient is φ = 88950472704.

The previous prime is 334144311967. The next prime is 334144312043. The reversal of 334144312020 is 20213441433.

334144312020 is a `hidden beast` number, since 3 + 3 + 414 + 43 + 1 + 202 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51781733136 + 282362578884 = 227556^2 + 531378^2 .

It is a super-2 number, since 2×334144312020² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 756004 + ... + 1113476.

Almost surely, 2^334144312020 is an apocalyptic number.

334144312020 is a gapful number since it is divisible by the number (30) 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 334144312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525021348852).

334144312020 is an abundant number, since it is smaller than the sum of its proper divisors (715898385684).

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

334144312020 is a wasteful number, since it uses less digits than its factorization.

334144312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358071 (or 358060 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 334144312020 its reverse (20213441433), we get a palindrome (354357753453).

It can be divided in two parts, 33414 and 4312020, that added together give a palindrome (4345434).

The spelling of 334144312020 in words is "three hundred thirty-four billion, one hundred forty-four million, three hundred twelve thousand, twenty".