4840045689600 has 972 divisors, whose sum is σ = 19290244939056. Its totient is φ = 1156700160000.

The previous prime is 4840045689559. The next prime is 4840045689607. The reversal of 4840045689600 is 69865400484.

4840045689600 is a `hidden beast` number, since 484 + 0 + 0 + 45 + 68 + 9 + 60 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (4840045689607) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 494836710 + ... + 494846490.

Almost surely, 2^{4840045689600} is an apocalyptic number.

4840045689600 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 4840045689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9645122469528).

4840045689600 is an abundant number, since it is smaller than the sum of its proper divisors (14450199249456).

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

4840045689600 is a wasteful number, since it uses less digits than its factorization.

4840045689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9906 (or 9873 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 4840045689600 in words is "four trillion, eight hundred forty billion, forty-five million, six hundred eighty-nine thousand, six hundred".