4973814236160 has 1408 divisors, whose sum is σ = 23198477414400. Its totient is φ = 979084247040.

The previous prime is 4973814236159. The next prime is 4973814236191. The reversal of 4973814236160 is 616324183794.

4973814236160 is a `hidden beast` number, since 4 + 9 + 7 + 3 + 8 + 14 + 2 + 3 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is a junction number, because it is equal to n+sod(n) for n = 4973814236097 and 4973814236106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 202232824 + ... + 202257416.

Almost surely, 2^{4973814236160} is an apocalyptic number.

4973814236160 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 4973814236160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11599238707200).

4973814236160 is an abundant number, since it is smaller than the sum of its proper divisors (18224663178240).

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

4973814236160 is a wasteful number, since it uses less digits than its factorization.

4973814236160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24664 (or 24640 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 4973814236160 in words is "four trillion, nine hundred seventy-three billion, eight hundred fourteen million, two hundred thirty-six thousand, one hundred sixty".