4238216486784 has 2048 divisors, whose sum is σ = 16121548800000. Its totient is φ = 1092472012800.

The previous prime is 4238216486767. The next prime is 4238216486807. The reversal of 4238216486784 is 4876846128324.

It is a happy number.

4238216486784 is a `hidden beast` number, since 4 + 2 + 3 + 82 + 1 + 6 + 486 + 78 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 43692953424 + ... + 43692953520.

It is an arithmetic number, because the mean of its divisors is an integer number (7871850000).

Almost surely, 2^{4238216486784} 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 4238216486784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8060774400000).

4238216486784 is an abundant number, since it is smaller than the sum of its proper divisors (11883332313216).

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

4238216486784 is a wasteful number, since it uses less digits than its factorization.

4238216486784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 210 counting only the distinct ones).

The product of its digits is 99090432, while the sum is 63.

The spelling of 4238216486784 in words is "four trillion, two hundred thirty-eight billion, two hundred sixteen million, four hundred eighty-six thousand, seven hundred eighty-four".