4788130040064 has 1440 divisors, whose sum is σ = 17611684823040. Its totient is φ = 1269789696000.

The previous prime is 4788130040039. The next prime is 4788130040087. The reversal of 4788130040064 is 4600400318874.

4788130040064 is a `hidden beast` number, since 478 + 8 + 130 + 0 + 40 + 0 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31709470389 + ... + 31709470539.

Almost surely, 2^{4788130040064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4788130040064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8805842411520).

4788130040064 is an abundant number, since it is smaller than the sum of its proper divisors (12823554782976).

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

4788130040064 is an frugal number, since it uses more digits than its factorization.

4788130040064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 4788130040064 in words is "four trillion, seven hundred eighty-eight billion, one hundred thirty million, forty thousand, sixty-four".