4712857286400 has 1296 divisors, whose sum is σ = 18601107452928. Its totient is φ = 1133199360000.

The previous prime is 4712857286393. The next prime is 4712857286419. The reversal of 4712857286400 is 46827582174.

4712857286400 is a `hidden beast` number, since 4 + 7 + 1 + 2 + 8 + 572 + 8 + 64 + 0 + 0 = 666.

It is a super-2 number, since 2×4712857286400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3248005675 + ... + 3248007125.

It is an arithmetic number, because the mean of its divisors is an integer number (14352706368).

Almost surely, 2^{4712857286400} is an apocalyptic number.

4712857286400 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 4712857286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9300553726464).

4712857286400 is an abundant number, since it is smaller than the sum of its proper divisors (13888250166528).

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

4712857286400 is a wasteful number, since it uses less digits than its factorization.

4712857286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 4712857286400 in words is "four trillion, seven hundred twelve billion, eight hundred fifty-seven million, two hundred eighty-six thousand, four hundred".