334041301020 has 192 divisors, whose sum is σ = 1085545036800. Its totient is φ = 75167059968.

The previous prime is 334041301019. The next prime is 334041301039. The reversal of 334041301020 is 20103140433.

It is a super-2 number, since 2×334041301020² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71726532 + ... + 71731188.

It is an arithmetic number, because the mean of its divisors is an integer number (5653880400).

Almost surely, 2^334041301020 is an apocalyptic number.

334041301020 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 334041301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542772518400).

334041301020 is an abundant number, since it is smaller than the sum of its proper divisors (751503735780).

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

334041301020 is a wasteful number, since it uses less digits than its factorization.

334041301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7292 (or 7290 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 334041301020 its reverse (20103140433), we get a palindrome (354144441453).

The spelling of 334041301020 in words is "three hundred thirty-four billion, forty-one million, three hundred one thousand, twenty".