4242006464 has 56 divisors (see below), whose sum is σ = 9001371888. Its totient is φ = 1976422400.

The previous prime is 4242006437. The next prime is 4242006473. The reversal of 4242006464 is 4646002424.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4242006464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90587 + ... + 129189.

Almost surely, 2^4242006464 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 4242006464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4500685944).

4242006464 is an abundant number, since it is smaller than the sum of its proper divisors (4759365424).

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

4242006464 is a wasteful number, since it uses less digits than its factorization.

4242006464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38733 (or 38723 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 4242006464 is about 65130.6875750594. The cubic root of 4242006464 is about 1618.7897357031.

Adding to 4242006464 its reverse (4646002424), we get a palindrome (8888008888).

The spelling of 4242006464 in words is "four billion, two hundred forty-two million, six thousand, four hundred sixty-four".