4242990752 has 288 divisors, whose sum is σ = 11583129600. Its totient is φ = 1503774720.

The previous prime is 4242990751. The next prime is 4242990767. The reversal of 4242990752 is 2570992424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242990751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28476374 + ... + 28476522.

It is an arithmetic number, because the mean of its divisors is an integer number (40219200).

Almost surely, 2^4242990752 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 4242990752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791564800).

4242990752 is an abundant number, since it is smaller than the sum of its proper divisors (7340138848).

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

4242990752 is a wasteful number, since it uses less digits than its factorization.

4242990752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 4242990752 is about 65138.2433904999. The cubic root of 4242990752 is about 1618.9149305532.

The spelling of 4242990752 in words is "four billion, two hundred forty-two million, nine hundred ninety thousand, seven hundred fifty-two".