433376384628420 has 192 divisors, whose sum is σ = 1358799374419200. Its totient is φ = 114666393553920.

The previous prime is 433376384628359. The next prime is 433376384628461. The reversal of 433376384628420 is 24826483673334.

433376384628420 is a `hidden beast` number, since 4 + 3 + 3 + 3 + 76 + 3 + 8 + 462 + 84 + 20 = 666.

It is a super-2 number, since 2×433376384628420² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147317286 + ... + 150230274.

It is an arithmetic number, because the mean of its divisors is an integer number (7077080075100).

Almost surely, 2^{433376384628420} 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 433376384628420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679399687209600).

433376384628420 is an abundant number, since it is smaller than the sum of its proper divisors (925422989790780).

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

433376384628420 is a wasteful number, since it uses less digits than its factorization.

433376384628420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915155 (or 2915147 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 63.

The spelling of 433376384628420 in words is "four hundred thirty-three trillion, three hundred seventy-six billion, three hundred eighty-four million, six hundred twenty-eight thousand, four hundred twenty".