4006486306560 has 144 divisors (see below), whose sum is σ = 13208481054720. Its totient is φ = 1033931919360.

The previous prime is 4006486306531. The next prime is 4006486306609. The reversal of 4006486306560 is 656036846004.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16709280 + ... + 16947359.

It is an arithmetic number, because the mean of its divisors is an integer number (91725562880).

Almost surely, 2^{4006486306560} is an apocalyptic number.

4006486306560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4006486306560 is an abundant number, since it is smaller than the sum of its proper divisors (9201994748160).

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

4006486306560 is a wasteful number, since it uses less digits than its factorization.

4006486306560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33656694 (or 33656680 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 4006486306560 in words is "four trillion, six billion, four hundred eighty-six million, three hundred six thousand, five hundred sixty".