10477133333424 has 400 divisors, whose sum is σ = 31758289339392. Its totient is φ = 3331580668416.

The previous prime is 10477133333423. The next prime is 10477133333431. The reversal of 10477133333424 is 42433333177401.

10477133333424 is a `hidden beast` number, since 1 + 0 + 477 + 133 + 3 + 3 + 3 + 42 + 4 = 666.

10477133333424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10477133333424.

It is not an unprimeable number, because it can be changed into a prime (10477133333423) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 658641279 + ... + 658657185.

Almost surely, 2^{10477133333424} 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 10477133333424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15879144669696).

10477133333424 is an abundant number, since it is smaller than the sum of its proper divisors (21281156005968).

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

10477133333424 is a wasteful number, since it uses less digits than its factorization.

10477133333424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16246 (or 16231 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 45.

The spelling of 10477133333424 in words is "ten trillion, four hundred seventy-seven billion, one hundred thirty-three million, three hundred thirty-three thousand, four hundred twenty-four".