4285216665600 has 624 divisors, whose sum is σ = 15376253190144. Its totient is φ = 1046642688000.

The previous prime is 4285216665547. The next prime is 4285216665619. The reversal of 4285216665600 is 65666125824.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×4285216665600² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523157505 + ... + 523165695.

Almost surely, 2^{4285216665600} is an apocalyptic number.

4285216665600 is a gapful number since it is divisible by the number (40) 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 4285216665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7688126595072).

4285216665600 is an abundant number, since it is smaller than the sum of its proper divisors (11091036524544).

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

4285216665600 is a wasteful number, since it uses less digits than its factorization.

4285216665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8372 (or 8345 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 4285216665600 in words is "four trillion, two hundred eighty-five billion, two hundred sixteen million, six hundred sixty-five thousand, six hundred".