4870082355840 has 576 divisors, whose sum is σ = 18247760271000. Its totient is φ = 1196312592384.

The previous prime is 4870082355839. The next prime is 4870082355851. The reversal of 4870082355840 is 485532800784.

4870082355840 is a `hidden beast` number, since 4 + 8 + 7 + 0 + 0 + 82 + 3 + 558 + 4 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 545246374464 + 4324835981376 = 738408^2 + 2079624^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 495476046 + ... + 495485874.

Almost surely, 2^{4870082355840} is an apocalyptic number.

4870082355840 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 4870082355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9123880135500).

4870082355840 is an abundant number, since it is smaller than the sum of its proper divisors (13377677915160).

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

4870082355840 is a wasteful number, since it uses less digits than its factorization.

4870082355840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10389 (or 10361 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 4870082355840 in words is "four trillion, eight hundred seventy billion, eighty-two million, three hundred fifty-five thousand, eight hundred forty".