4863141082800 has 3600 divisors, whose sum is σ = 24657495819264. Its totient is φ = 901393920000.

The previous prime is 4863141082799. The next prime is 4863141082819. The reversal of 4863141082800 is 82801413684.

4863141082800 is a `hidden beast` number, since 4 + 8 + 631 + 4 + 1 + 0 + 8 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 7037830455 + ... + 7037831145.

Almost surely, 2^{4863141082800} is an apocalyptic number.

4863141082800 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 4863141082800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12328747909632).

4863141082800 is an abundant number, since it is smaller than the sum of its proper divisors (19794354736464).

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

4863141082800 is a wasteful number, since it uses less digits than its factorization.

4863141082800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 4863141082800 in words is "four trillion, eight hundred sixty-three billion, one hundred forty-one million, eighty-two thousand, eight hundred".