334416472128 has 448 divisors, whose sum is σ = 1062921968640. Its totient is φ = 102717849600.

The previous prime is 334416472127. The next prime is 334416472133. The reversal of 334416472128 is 821274614433.

334416472128 is a `hidden beast` number, since 3 + 3 + 44 + 16 + 472 + 128 = 666.

It is a super-2 number, since 2×334416472128² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334416472127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 772324200 + ... + 772324632.

It is an arithmetic number, because the mean of its divisors is an integer number (2372593680).

Almost surely, 2^334416472128 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 334416472128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531460984320).

334416472128 is an abundant number, since it is smaller than the sum of its proper divisors (728505496512).

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

334416472128 is a wasteful number, since it uses less digits than its factorization.

334416472128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 947 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 334416472128 in words is "three hundred thirty-four billion, four hundred sixteen million, four hundred seventy-two thousand, one hundred twenty-eight".