4977853322400 has 432 divisors, whose sum is σ = 20439264553344. Its totient is φ = 1116326615040.

The previous prime is 4977853322381. The next prime is 4977853322401. The reversal of 4977853322400 is 42233587794.

It is a happy number.

4977853322400 is a `hidden beast` number, since 4 + 97 + 78 + 53 + 32 + 2 + 400 = 666.

It is not an unprimeable number, because it can be changed into a prime (4977853322401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1739437 + ... + 3602963.

It is an arithmetic number, because the mean of its divisors is an integer number (47313112392).

Almost surely, 2^{4977853322400} is an apocalyptic number.

4977853322400 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 4977853322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10219632276672).

4977853322400 is an abundant number, since it is smaller than the sum of its proper divisors (15461411230944).

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

4977853322400 is a wasteful number, since it uses less digits than its factorization.

4977853322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863613 (or 1863597 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 4977853322400 in words is "four trillion, nine hundred seventy-seven billion, eight hundred fifty-three million, three hundred twenty-two thousand, four hundred".