4705318252800 has 1944 divisors, whose sum is σ = 19485162994752. Its totient is φ = 1115265024000.

The previous prime is 4705318252783. The next prime is 4705318252819. The reversal of 4705318252800 is 82528135074.

4705318252800 is a `hidden beast` number, since 4 + 7 + 0 + 5 + 318 + 252 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

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 215 ways as a sum of consecutive naturals, for example, 28175558317 + ... + 28175558483.

Almost surely, 2^{4705318252800} is an apocalyptic number.

4705318252800 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 4705318252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9742581497376).

4705318252800 is an abundant number, since it is smaller than the sum of its proper divisors (14779844741952).

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

4705318252800 is an equidigital number, since it uses as much as digits as its factorization.

4705318252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 4705318252800 in words is "four trillion, seven hundred five billion, three hundred eighteen million, two hundred fifty-two thousand, eight hundred".