4005026987328 has 224 divisors, whose sum is σ = 12756553729920. Its totient is φ = 1227258224640.

The previous prime is 4005026987303. The next prime is 4005026987363. The reversal of 4005026987328 is 8237896205004.

4005026987328 is a `hidden beast` number, since 4 + 0 + 0 + 50 + 269 + 8 + 7 + 328 = 666.

It is a super-5 number, since 5×4005026987328⁵ (a number of 64 digits) contains 55555 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 322143 + ... + 2848478.

It is an arithmetic number, because the mean of its divisors is an integer number (56948900580).

Almost surely, 2^{4005026987328} is an apocalyptic number.

4005026987328 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 4005026987328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6378276864960).

4005026987328 is an abundant number, since it is smaller than the sum of its proper divisors (8751526742592).

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

4005026987328 is a wasteful number, since it uses less digits than its factorization.

4005026987328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170702 (or 3170686 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4005026987328 in words is "four trillion, five billion, twenty-six million, nine hundred eighty-seven thousand, three hundred twenty-eight".