334400111211320 has 256 divisors, whose sum is σ = 941525824896000. Its totient is φ = 103843913564160.

The previous prime is 334400111211301. The next prime is 334400111211349. The reversal of 334400111211320 is 23112111004433.

It is a super-2 number, since 2×334400111211320² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334400111211320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 944357342 + ... + 944711378.

It is an arithmetic number, because the mean of its divisors is an integer number (3677835253500).

Almost surely, 2^{334400111211320} 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 334400111211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470762912448000).

334400111211320 is an abundant number, since it is smaller than the sum of its proper divisors (607125713684680).

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

334400111211320 is a wasteful number, since it uses less digits than its factorization.

334400111211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355198 (or 355194 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 334400111211320 its reverse (23112111004433), we get a palindrome (357512222215753).

The spelling of 334400111211320 in words is "three hundred thirty-four trillion, four hundred billion, one hundred eleven million, two hundred eleven thousand, three hundred twenty".