334400422400 has 480 divisors, whose sum is σ = 973833670656. Its totient is φ = 112527360000.

The previous prime is 334400422379. The next prime is 334400422403. The reversal of 334400422400 is 4224004433.

It is a super-2 number, since 2×334400422400² (a number of 24 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 334400422400.

It is not an unprimeable number, because it can be changed into a prime (334400422403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100388735 + ... + 100392065.

Almost surely, 2^334400422400 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 334400422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486916835328).

334400422400 is an abundant number, since it is smaller than the sum of its proper divisors (639433248256).

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

334400422400 is a wasteful number, since it uses less digits than its factorization.

334400422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 334400422400 its reverse (4224004433), we get a palindrome (338624426833).

The spelling of 334400422400 in words is "three hundred thirty-four billion, four hundred million, four hundred twenty-two thousand, four hundred".