4891338566400 has 432 divisors, whose sum is σ = 18964551191040. Its totient is φ = 1094564659200.

The previous prime is 4891338566399. The next prime is 4891338566419. The reversal of 4891338566400 is 46658331984.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1854841 + ... + 3636359.

Almost surely, 2^{4891338566400} is an apocalyptic number.

4891338566400 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 4891338566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9482275595520).

4891338566400 is an abundant number, since it is smaller than the sum of its proper divisors (14073212624640).

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

4891338566400 is a wasteful number, since it uses less digits than its factorization.

4891338566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781572 (or 1781553 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 4891338566400 in words is "four trillion, eight hundred ninety-one billion, three hundred thirty-eight million, five hundred sixty-six thousand, four hundred".