4894041600 has 1080 divisors, whose sum is σ = 22197831480. Its totient is φ = 1052835840.

The previous prime is 4894041587. The next prime is 4894041643. The reversal of 4894041600 is 61404984.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4894041600 is a `hidden beast` number, since 4 + 8 + 9 + 4 + 0 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 287884792 + ... + 287884808.

Almost surely, 2^4894041600 is an apocalyptic number.

4894041600 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 4894041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11098915740).

4894041600 is an abundant number, since it is smaller than the sum of its proper divisors (17303789880).

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

4894041600 is a wasteful number, since it uses less digits than its factorization.

4894041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4894041600 is about 69957.4270538876. The cubic root of 4894041600 is about 1697.8105146344.

The spelling of 4894041600 in words is "four billion, eight hundred ninety-four million, forty-one thousand, six hundred".