334110420000 has 2160 divisors, whose sum is σ = 1519045399872. Its totient is φ = 71850240000.

The previous prime is 334110419983. The next prime is 334110420013. The reversal of 334110420000 is 24011433.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×334110420000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 5477219970 + ... + 5477220030.

Almost surely, 2^334110420000 is an apocalyptic number.

334110420000 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 334110420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759522699936).

334110420000 is an abundant number, since it is smaller than the sum of its proper divisors (1184934979872).

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

334110420000 is an equidigital number, since it uses as much as digits as its factorization.

334110420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 334110420000 its reverse (24011433), we get a palindrome (334134431433).

The spelling of 334110420000 in words is "three hundred thirty-four billion, one hundred ten million, four hundred twenty thousand".