4216286584800 has 432 divisors, whose sum is σ = 15444168509952. Its totient is φ = 1122459379200.

The previous prime is 4216286584781. The next prime is 4216286584877. The reversal of 4216286584800 is 84856826124.

4216286584800 is a `hidden beast` number, since 4 + 2 + 1 + 628 + 6 + 5 + 8 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117982935 + ... + 118018665.

Almost surely, 2^{4216286584800} is an apocalyptic number.

4216286584800 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 4216286584800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7722084254976).

4216286584800 is an abundant number, since it is smaller than the sum of its proper divisors (11227881925152).

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

4216286584800 is a wasteful number, since it uses less digits than its factorization.

4216286584800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36373 (or 36348 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 4216286584800 in words is "four trillion, two hundred sixteen billion, two hundred eighty-six million, five hundred eighty-four thousand, eight hundred".