334313441343400 has 96 divisors (see below), whose sum is σ = 780036759452160. Its totient is φ = 133251181539840.

The previous prime is 334313441343383. The next prime is 334313441343439. The reversal of 334313441343400 is 4343144313433.

It is a super-2 number, since 2×334313441343400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177032569 + ... + 178911031.

It is an arithmetic number, because the mean of its divisors is an integer number (8125382910960).

Almost surely, 2^{334313441343400} 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 334313441343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390018379726080).

334313441343400 is an abundant number, since it is smaller than the sum of its proper divisors (445723318108760).

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

334313441343400 is a wasteful number, since it uses less digits than its factorization.

334313441343400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881635 (or 1881626 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 40.

Adding to 334313441343400 its reverse (4343144313433), we get a palindrome (338656585656833).

The spelling of 334313441343400 in words is "three hundred thirty-four trillion, three hundred thirteen billion, four hundred forty-one million, three hundred forty-three thousand, four hundred".