4238736480 has 864 divisors, whose sum is σ = 17787343392. Its totient is φ = 948879360.

The previous prime is 4238736479. The next prime is 4238736487. The reversal of 4238736480 is 846378324.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4238736487) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 79976134 + ... + 79976186.

It is an arithmetic number, because the mean of its divisors is an integer number (20587203).

Almost surely, 2^4238736480 is an apocalyptic number.

4238736480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4238736480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8893671696).

4238736480 is an abundant number, since it is smaller than the sum of its proper divisors (13548606912).

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

4238736480 is a wasteful number, since it uses less digits than its factorization.

4238736480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 4238736480 is about 65105.5794844036. The cubic root of 4238736480 is about 1618.3736765167.

The spelling of 4238736480 in words is "four billion, two hundred thirty-eight million, seven hundred thirty-six thousand, four hundred eighty".