4856201222400 has 972 divisors, whose sum is σ = 19132483786416. Its totient is φ = 1174265241600.

The previous prime is 4856201222393. The next prime is 4856201222401. The reversal of 4856201222400 is 42221026584.

4856201222400 is a `hidden beast` number, since 4 + 8 + 5 + 6 + 20 + 1 + 222 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4856201222401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4091154607 + ... + 4091155793.

Almost surely, 2^{4856201222400} is an apocalyptic number.

4856201222400 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 4856201222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9566241893208).

4856201222400 is an abundant number, since it is smaller than the sum of its proper divisors (14276282564016).

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

4856201222400 is a wasteful number, since it uses less digits than its factorization.

4856201222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 4856201222400 its reverse (42221026584), we get a palindrome (4898422248984).

The spelling of 4856201222400 in words is "four trillion, eight hundred fifty-six billion, two hundred one million, two hundred twenty-two thousand, four hundred".