334351420000 has 240 divisors, whose sum is σ = 904708550592. Its totient is φ = 120821760000.

The previous prime is 334351419971. The next prime is 334351420009. The reversal of 334351420000 is 24153433.

It is a super-2 number, since 2×334351420000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334351420009) by changing a digit.

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, 12206320 + ... + 12233680.

Almost surely, 2^334351420000 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 334351420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452354275296).

334351420000 is an abundant number, since it is smaller than the sum of its proper divisors (570357130592).

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

334351420000 is a wasteful number, since it uses less digits than its factorization.

334351420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27451 (or 27428 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 334351420000 its reverse (24153433), we get a palindrome (334375573433).

The spelling of 334351420000 in words is "three hundred thirty-four billion, three hundred fifty-one million, four hundred twenty thousand".