4242402144 has 72 divisors (see below), whose sum is σ = 12096145152. Its totient is φ = 1410405120.

The previous prime is 4242402127. The next prime is 4242402149. The reversal of 4242402144 is 4412042424.

4242402144 is a `hidden beast` number, since 4 + 242 + 402 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242402149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91074 + ... + 129534.

It is an arithmetic number, because the mean of its divisors is an integer number (168002016).

Almost surely, 2^4242402144 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 4242402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048072576).

4242402144 is an abundant number, since it is smaller than the sum of its proper divisors (7853743008).

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

4242402144 is a wasteful number, since it uses less digits than its factorization.

4242402144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38860 (or 38849 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 4242402144 is about 65133.7250892347. The cubic root of 4242402144 is about 1618.8400658801.

Adding to 4242402144 its reverse (4412042424), we get a palindrome (8654444568).

The spelling of 4242402144 in words is "four billion, two hundred forty-two million, four hundred two thousand, one hundred forty-four".