4942813824 has 384 divisors, whose sum is σ = 16707600000. Its totient is φ = 1388814336.

The previous prime is 4942813807. The next prime is 4942813829. The reversal of 4942813824 is 4283182494.

4942813824 is a `hidden beast` number, since 494 + 2 + 8 + 138 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4942813824.

It is not an unprimeable number, because it can be changed into a prime (4942813829) 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, 8251477 + ... + 8252075.

It is an arithmetic number, because the mean of its divisors is an integer number (43509375).

Almost surely, 2^4942813824 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 4942813824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8353800000).

4942813824 is an abundant number, since it is smaller than the sum of its proper divisors (11764786176).

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

4942813824 is a wasteful number, since it uses less digits than its factorization.

4942813824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 665 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 4942813824 is about 70305.1479196225. The cubic root of 4942813824 is about 1703.4318015625.

The spelling of 4942813824 in words is "four billion, nine hundred forty-two million, eight hundred thirteen thousand, eight hundred twenty-four".