4242033805984 has 192 divisors, whose sum is σ = 9612778291200. Its totient is φ = 1825363427328.

The previous prime is 4242033805963. The next prime is 4242033805987. The reversal of 4242033805984 is 4895083302424.

It is a super-2 number, since 2×4242033805984² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (4242033805987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 645762252 + ... + 645768820.

It is an arithmetic number, because the mean of its divisors is an integer number (50066553600).

Almost surely, 2^{4242033805984} 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 4242033805984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4806389145600).

4242033805984 is an abundant number, since it is smaller than the sum of its proper divisors (5370744485216).

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

4242033805984 is a wasteful number, since it uses less digits than its factorization.

4242033805984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7455 (or 7447 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 52.

The spelling of 4242033805984 in words is "four trillion, two hundred forty-two billion, thirty-three million, eight hundred five thousand, nine hundred eighty-four".