4001664815808 has 336 divisors, whose sum is σ = 11746119772128. Its totient is φ = 1201386700800.

The previous prime is 4001664815803. The next prime is 4001664815839. The reversal of 4001664815808 is 8085184661004.

It is not an unprimeable number, because it can be changed into a prime (4001664815801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1257987978 + ... + 1257991158.

It is an arithmetic number, because the mean of its divisors is an integer number (34958689798).

Almost surely, 2^{4001664815808} is an apocalyptic number.

4001664815808 is a gapful number since it is divisible by the number (48) 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 4001664815808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5873059886064).

4001664815808 is an abundant number, since it is smaller than the sum of its proper divisors (7744454956320).

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

4001664815808 is a wasteful number, since it uses less digits than its factorization.

4001664815808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3704 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 51.

The spelling of 4001664815808 in words is "four trillion, one billion, six hundred sixty-four million, eight hundred fifteen thousand, eight hundred eight".