4005104088840 has 64 divisors (see below), whose sum is σ = 12036136239360. Its totient is φ = 1066176737280.

The previous prime is 4005104088823. The next prime is 4005104088847. The reversal of 4005104088840 is 488804015004.

It is a super-2 number, since 2×4005104088840² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4005104088792 and 4005104088801.

It is not an unprimeable number, because it can be changed into a prime (4005104088847) 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 15 ways as a sum of consecutive naturals, for example, 28852656 + ... + 28991135.

It is an arithmetic number, because the mean of its divisors is an integer number (188064628740).

Almost surely, 2^{4005104088840} is an apocalyptic number.

4005104088840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4005104088840 is an abundant number, since it is smaller than the sum of its proper divisors (8031032150520).

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

4005104088840 is a wasteful number, since it uses less digits than its factorization.

4005104088840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57844382 (or 57844378 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 42.

The spelling of 4005104088840 in words is "four trillion, five billion, one hundred four million, eighty-eight thousand, eight hundred forty".