4963894880400 has 405 divisors, whose sum is σ = 17505603731577. Its totient is φ = 1302566227200.

The previous prime is 4963894880387. The next prime is 4963894880401. The reversal of 4963894880400 is 40884983694.

The square root of 4963894880400 is 2227980.

It is a perfect power (a square), and thus also a powerful number.

4963894880400 is a `hidden beast` number, since 4 + 9 + 63 + 8 + 94 + 8 + 80 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1787002156944 + 3176892723456 = 1336788^2 + 1782384^2 .

It is a super-2 number, since 2×4963894880400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4963894880401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9491194539 + ... + 9491195061.

Almost surely, 2^{4963894880400} is an apocalyptic number.

4963894880400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4963894880400 is the 2227980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4963894880400

4963894880400 is an abundant number, since it is smaller than the sum of its proper divisors (12541708851177).

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

4963894880400 is an equidigital number, since it uses as much as digits as its factorization.

4963894880400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 4963894880400 in words is "four trillion, nine hundred sixty-three billion, eight hundred ninety-four million, eight hundred eighty thousand, four hundred".