4008130057728 has 360 divisors, whose sum is σ = 11768761204200. Its totient is φ = 1313172062208.

The previous prime is 4008130057691. The next prime is 4008130057739. The reversal of 4008130057728 is 8277500318004.

4008130057728 is a `hidden beast` number, since 40 + 0 + 8 + 1 + 30 + 0 + 577 + 2 + 8 = 666.

It is a super-2 number, since 2×4008130057728² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9799828788 + ... + 9799829196.

It is an arithmetic number, because the mean of its divisors is an integer number (32691003345).

Almost surely, 2^{4008130057728} is an apocalyptic number.

4008130057728 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 4008130057728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5884380602100).

4008130057728 is an abundant number, since it is smaller than the sum of its proper divisors (7760631146472).

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

4008130057728 is a wasteful number, since it uses less digits than its factorization.

4008130057728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 4008130057728 in words is "four trillion, eight billion, one hundred thirty million, fifty-seven thousand, seven hundred twenty-eight".