4834255564800 has 1248 divisors, whose sum is σ = 18949250741760. Its totient is φ = 1203948748800.

The previous prime is 4834255564799. The next prime is 4834255564819. The reversal of 4834255564800 is 84655524384.

4834255564800 is a `hidden beast` number, since 4 + 8 + 3 + 4 + 2 + 5 + 556 + 4 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7661260485 + ... + 7661261115.

Almost surely, 2^{4834255564800} is an apocalyptic number.

4834255564800 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 4834255564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9474625370880).

4834255564800 is an abundant number, since it is smaller than the sum of its proper divisors (14114995176960).

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

4834255564800 is a wasteful number, since it uses less digits than its factorization.

4834255564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 54.

The spelling of 4834255564800 in words is "four trillion, eight hundred thirty-four billion, two hundred fifty-five million, five hundred sixty-four thousand, eight hundred".