4124798496 has 288 divisors, whose sum is σ = 14905433088. Its totient is φ = 1052559360.

The previous prime is 4124798477. The next prime is 4124798549. The reversal of 4124798496 is 6948974214.

4124798496 is a `hidden beast` number, since 4 + 1 + 2 + 479 + 84 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 809910 + ... + 814986.

It is an arithmetic number, because the mean of its divisors is an integer number (51754976).

Almost surely, 2^4124798496 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 4124798496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7452716544).

4124798496 is an abundant number, since it is smaller than the sum of its proper divisors (10780634592).

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

4124798496 is a wasteful number, since it uses less digits than its factorization.

4124798496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5144 (or 5133 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 4124798496 is about 64224.5941676551. The cubic root of 4124798496 is about 1603.7410501889.

The spelling of 4124798496 in words is "four billion, one hundred twenty-four million, seven hundred ninety-eight thousand, four hundred ninety-six".