4857294049200 has 420 divisors, whose sum is σ = 17718027883360. Its totient is φ = 1278876418560.

The previous prime is 4857294049133. The next prime is 4857294049207. The reversal of 4857294049200 is 29404927584.

It is a happy number.

4857294049200 is a `hidden beast` number, since 4 + 8 + 5 + 7 + 29 + 404 + 9 + 200 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4857294049207) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 22930974 + ... + 23141826.

Almost surely, 2^{4857294049200} is an apocalyptic number.

4857294049200 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 4857294049200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8859013941680).

4857294049200 is an abundant number, since it is smaller than the sum of its proper divisors (12860733834160).

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

4857294049200 is a wasteful number, since it uses less digits than its factorization.

4857294049200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210968 (or 210942 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4857294049200 in words is "four trillion, eight hundred fifty-seven billion, two hundred ninety-four million, forty-nine thousand, two hundred".