4006179854496 has 48 divisors (see below), whose sum is σ = 11684691244800. Its totient is φ = 1335393284544.

The previous prime is 4006179854461. The next prime is 4006179854531. The reversal of 4006179854496 is 6944589716004.

4006179854496 is a `hidden beast` number, since 4 + 0 + 0 + 6 + 1 + 7 + 98 + 54 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (4006179854461) and next prime (4006179854531).

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 2318390256 + ... + 2318391983.

It is an arithmetic number, because the mean of its divisors is an integer number (243431067600).

Almost surely, 2^{4006179854496} is an apocalyptic number.

It is an amenable number.

4006179854496 is an abundant number, since it is smaller than the sum of its proper divisors (7678511390304).

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

4006179854496 is a wasteful number, since it uses less digits than its factorization.

4006179854496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4636782258 (or 4636782244 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 4006179854496 in words is "four trillion, six billion, one hundred seventy-nine million, eight hundred fifty-four thousand, four hundred ninety-six".