4840045885440 has 768 divisors, whose sum is σ = 17590555382400. Its totient is φ = 1261921370112.

The previous prime is 4840045885439. The next prime is 4840045885447. The reversal of 4840045885440 is 445885400484.

4840045885440 is a `hidden beast` number, since 4 + 8 + 4 + 0 + 0 + 4 + 588 + 54 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4840045885447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8161965784 + ... + 8161966376.

Almost surely, 2^{4840045885440} is an apocalyptic number.

4840045885440 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 4840045885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8795277691200).

4840045885440 is an abundant number, since it is smaller than the sum of its proper divisors (12750509496960).

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

4840045885440 is a wasteful number, since it uses less digits than its factorization.

4840045885440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 13107200, while the sum is 54.

The spelling of 4840045885440 in words is "four trillion, eight hundred forty billion, forty-five million, eight hundred eighty-five thousand, four hundred forty".