334121411400000 has 1008 divisors, whose sum is σ = 1290294534114432. Its totient is φ = 74743626240000.

The previous prime is 334121411399983. The next prime is 334121411400031. The reversal of 334121411400000 is 4114121433.

It is a super-2 number, since 2×334121411400000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9277781994 + ... + 9277818006.

It is an arithmetic number, because the mean of its divisors is an integer number (1280054101304).

Almost surely, 2^{334121411400000} is an apocalyptic number.

334121411400000 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 334121411400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645147267057216).

334121411400000 is an abundant number, since it is smaller than the sum of its proper divisors (956173122714432).

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

334121411400000 is an frugal number, since it uses more digits than its factorization.

334121411400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36154 (or 36077 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 334121411400000 its reverse (4114121433), we get a palindrome (334125525521433).

The spelling of 334121411400000 in words is "three hundred thirty-four trillion, one hundred twenty-one billion, four hundred eleven million, four hundred thousand".