4857492182400 has 2304 divisors, whose sum is σ = 20972662663680. Its totient is φ = 1055047680000.

The previous prime is 4857492182341. The next prime is 4857492182401. The reversal of 4857492182400 is 42812947584.

4857492182400 is a `hidden beast` number, since 4 + 8 + 5 + 74 + 92 + 1 + 82 + 400 = 666.

It is a super-2 number, since 2×4857492182400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4857492182401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 32168822325 + ... + 32168822475.

It is an arithmetic number, because the mean of its divisors is an integer number (9102718170).

Almost surely, 2^{4857492182400} is an apocalyptic number.

4857492182400 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 4857492182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10486331331840).

4857492182400 is an abundant number, since it is smaller than the sum of its proper divisors (16115170481280).

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

4857492182400 is a wasteful number, since it uses less digits than its factorization.

4857492182400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 4857492182400 in words is "four trillion, eight hundred fifty-seven billion, four hundred ninety-two million, one hundred eighty-two thousand, four hundred".