4354242816 has 288 divisors, whose sum is σ = 14952268800. Its totient is φ = 1091543040.

The previous prime is 4354242779. The next prime is 4354242817. The reversal of 4354242816 is 6182424534.

It is not an unprimeable number, because it can be changed into a prime (4354242817) 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, 1713675 + ... + 1716213.

It is an arithmetic number, because the mean of its divisors is an integer number (51917600).

Almost surely, 2^4354242816 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 4354242816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7476134400).

4354242816 is an abundant number, since it is smaller than the sum of its proper divisors (10598025984).

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

4354242816 is a wasteful number, since it uses less digits than its factorization.

4354242816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2605 (or 2591 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 4354242816 is about 65986.6866572341. The cubic root of 4354242816 is about 1632.9424583293.

The spelling of 4354242816 in words is "four billion, three hundred fifty-four million, two hundred forty-two thousand, eight hundred sixteen".