334042254400 has 84 divisors (see below), whose sum is σ = 822277111348. Its totient is φ = 133564170240.

The previous prime is 334042254397. The next prime is 334042254407. The reversal of 334042254400 is 4452240433.

It can be written as a sum of positive squares in 6 ways, for example, as 52785981504 + 281256272896 = 229752^2 + 530336^2 .

It is a super-2 number, since 2×334042254400² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334042254407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4147312 + ... + 4227088.

Almost surely, 2^334042254400 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 334042254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411138555674).

334042254400 is an abundant number, since it is smaller than the sum of its proper divisors (488234856948).

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

334042254400 is a wasteful number, since it uses less digits than its factorization.

334042254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82416 (or 82401 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 31.

Adding to 334042254400 its reverse (4452240433), we get a palindrome (338494494833).

The spelling of 334042254400 in words is "three hundred thirty-four billion, forty-two million, two hundred fifty-four thousand, four hundred".