4777355427840 has 1440 divisors, whose sum is σ = 19167468203520. Its totient is φ = 1134387265536.

The previous prime is 4777355427809. The next prime is 4777355427841. The reversal of 4777355427840 is 487245537774.

4777355427840 is a `hidden beast` number, since 4 + 7 + 7 + 7 + 3 + 5 + 542 + 7 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4777355427841) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6429818509 + ... + 6429819251.

It is an arithmetic number, because the mean of its divisors is an integer number (13310741808).

Almost surely, 2^{4777355427840} is an apocalyptic number.

4777355427840 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 4777355427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9583734101760).

4777355427840 is an abundant number, since it is smaller than the sum of its proper divisors (14390112775680).

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

4777355427840 is an equidigital number, since it uses as much as digits as its factorization.

4777355427840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 184396800, while the sum is 63.

The spelling of 4777355427840 in words is "four trillion, seven hundred seventy-seven billion, three hundred fifty-five million, four hundred twenty-seven thousand, eight hundred forty".