4213475610624 has 468 divisors, whose sum is σ = 14270098612224. Its totient is φ = 1194306011136.

The previous prime is 4213475610611. The next prime is 4213475610737. The reversal of 4213475610624 is 4260165743124.

4213475610624 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 4 + 7 + 5 + 6 + 10 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4213475610624.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 229395489 + ... + 229413855.

Almost surely, 2^{4213475610624} 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 4213475610624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7135049306112).

4213475610624 is an abundant number, since it is smaller than the sum of its proper divisors (10056623001600).

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

4213475610624 is a wasteful number, since it uses less digits than its factorization.

4213475610624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18538 (or 18506 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 4213475610624 in words is "four trillion, two hundred thirteen billion, four hundred seventy-five million, six hundred ten thousand, six hundred twenty-four".