4892862182400 has 792 divisors, whose sum is σ = 18228556288800. Its totient is φ = 1252427366400.

The previous prime is 4892862182321. The next prime is 4892862182401. The reversal of 4892862182400 is 42812682984.

4892862182400 is a `hidden beast` number, since 4 + 8 + 9 + 2 + 8 + 621 + 8 + 2 + 4 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4892862182401) 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, 1196004355 + ... + 1196008445.

It is an arithmetic number, because the mean of its divisors is an integer number (23015853900).

Almost surely, 2^{4892862182400} is an apocalyptic number.

4892862182400 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 4892862182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9114278144400).

4892862182400 is an abundant number, since it is smaller than the sum of its proper divisors (13335694106400).

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

4892862182400 is a wasteful number, since it uses less digits than its factorization.

4892862182400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4335 (or 4309 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 4892862182400 in words is "four trillion, eight hundred ninety-two billion, eight hundred sixty-two million, one hundred eighty-two thousand, four hundred".