4003973543808 has 768 divisors, whose sum is σ = 14095740672000. Its totient is φ = 1089204350976.

The previous prime is 4003973543803. The next prime is 4003973543813. The reversal of 4003973543808 is 8083453793004.

4003973543808 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 97 + 3 + 543 + 8 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4003973543803) and next prime (4003973543813).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4003973543803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 687138591 + ... + 687144417.

It is an arithmetic number, because the mean of its divisors is an integer number (18353829000).

Almost surely, 2^{4003973543808} is an apocalyptic number.

4003973543808 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 4003973543808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7047870336000).

4003973543808 is an abundant number, since it is smaller than the sum of its proper divisors (10091767128192).

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

4003973543808 is a wasteful number, since it uses less digits than its factorization.

4003973543808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5952 (or 5923 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 4003973543808 in words is "four trillion, three billion, nine hundred seventy-three million, five hundred forty-three thousand, eight hundred eight".