334133403420000 has 240 divisors, whose sum is σ = 1097950731237360. Its totient is φ = 88945637376000.

The previous prime is 334133403419951. The next prime is 334133403420031. The reversal of 334133403420000 is 24304331433.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×334133403420000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 334133403420000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29246424 + ... + 39033576.

It is an arithmetic number, because the mean of its divisors is an integer number (4574794713489).

Almost surely, 2^{334133403420000} is an apocalyptic number.

334133403420000 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 334133403420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548975365618680).

334133403420000 is an abundant number, since it is smaller than the sum of its proper divisors (763817327817360).

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

334133403420000 is an equidigital number, since it uses as much as digits as its factorization.

334133403420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9787755 (or 9787732 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 334133403420000 its reverse (24304331433), we get a palindrome (334157707751433).

The spelling of 334133403420000 in words is "three hundred thirty-four trillion, one hundred thirty-three billion, four hundred three million, four hundred twenty thousand".