4877152358400 has 1404 divisors, whose sum is σ = 21519716385492. Its totient is φ = 1049037373440.

The previous prime is 4877152358363. The next prime is 4877152358401. The reversal of 4877152358400 is 48532517784.

4877152358400 is a `hidden beast` number, since 4 + 8 + 7 + 7 + 1 + 52 + 3 + 584 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1040449536 + 4876111908864 = 32256^2 + 2208192^2 .

It is not an unprimeable number, because it can be changed into a prime (4877152358401) 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, 767689624 + ... + 767695976.

It is an arithmetic number, because the mean of its divisors is an integer number (15327433323).

Almost surely, 2^{4877152358400} is an apocalyptic number.

4877152358400 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 4877152358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10759858192746).

4877152358400 is an abundant number, since it is smaller than the sum of its proper divisors (16642564027092).

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

4877152358400 is a wasteful number, since it uses less digits than its factorization.

4877152358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6424 (or 6387 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 4877152358400 in words is "four trillion, eight hundred seventy-seven billion, one hundred fifty-two million, three hundred fifty-eight thousand, four hundred".