334427216400 has 720 divisors, whose sum is σ = 1277348899200. Its totient is φ = 83080028160.

The previous prime is 334427216359. The next prime is 334427216401. The reversal of 334427216400 is 4612724433.

334427216400 is a `hidden beast` number, since 3 + 3 + 4 + 4 + 2 + 7 + 2 + 1 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×334427216400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (334427216401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 340210309 + ... + 340211291.

Almost surely, 2^334427216400 is an apocalyptic number.

334427216400 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 334427216400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638674449600).

334427216400 is an abundant number, since it is smaller than the sum of its proper divisors (942921682800).

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

334427216400 is a wasteful number, since it uses less digits than its factorization.

334427216400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 334427216400 in words is "three hundred thirty-four billion, four hundred twenty-seven million, two hundred sixteen thousand, four hundred".