4006544456004 has 24 divisors (see below), whose sum is σ = 9349150687968. Its totient is φ = 1335436681920.

The previous prime is 4006544456003. The next prime is 4006544456009.

4006544456004 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4006544456003) by changing a digit.

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, 9553257 + ... + 9963824.

It is an arithmetic number, because the mean of its divisors is an integer number (389547945332).

Almost surely, 2^{4006544456004} is an apocalyptic number.

It is an amenable number.

4006544456004 is an abundant number, since it is smaller than the sum of its proper divisors (5342606231964).

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

4006544456004 is a wasteful number, since it uses less digits than its factorization.

4006544456004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19534195 (or 19534193 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 4006544456004 in words is "four trillion, six billion, five hundred forty-four million, four hundred fifty-six thousand, four".