4894109415360 has 896 divisors, whose sum is σ = 19223292211200. Its totient is φ = 1162133360640.

The previous prime is 4894109415319. The next prime is 4894109415373. The reversal of 4894109415360 is 635149014984.

4894109415360 is a `hidden beast` number, since 4 + 8 + 9 + 4 + 10 + 94 + 1 + 536 + 0 = 666.

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 = 4894109415297 and 4894109415306.

It is a congruent number.

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, 1721458099 + ... + 1721460941.

It is an arithmetic number, because the mean of its divisors is an integer number (21454567200).

Almost surely, 2^{4894109415360} is an apocalyptic number.

4894109415360 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 4894109415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9611646105600).

4894109415360 is an abundant number, since it is smaller than the sum of its proper divisors (14329182795840).

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

4894109415360 is a wasteful number, since it uses less digits than its factorization.

4894109415360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 4894109415360 in words is "four trillion, eight hundred ninety-four billion, one hundred nine million, four hundred fifteen thousand, three hundred sixty".