4842400968 has 192 divisors, whose sum is σ = 14192418240. Its totient is φ = 1545433344.

The previous prime is 4842400957. The next prime is 4842400991. The reversal of 4842400968 is 8690042484.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4429830 + ... + 4430922.

It is an arithmetic number, because the mean of its divisors is an integer number (73918845).

Almost surely, 2^4842400968 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 4842400968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7096209120).

4842400968 is an abundant number, since it is smaller than the sum of its proper divisors (9350017272).

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

4842400968 is a wasteful number, since it uses less digits than its factorization.

4842400968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1194 counting only the distinct ones).

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

The square root of 4842400968 is about 69587.3621284785. The cubic root of 4842400968 is about 1691.8177712302.

The spelling of 4842400968 in words is "four billion, eight hundred forty-two million, four hundred thousand, nine hundred sixty-eight".