4005152686080 has 2052 divisors, whose sum is σ = 17915912295372. Its totient is φ = 824432394240.

The previous prime is 4005152686057. The next prime is 4005152686207. The reversal of 4005152686080 is 806862515004.

4005152686080 is a `hidden beast` number, since 4 + 0 + 0 + 5 + 15 + 26 + 8 + 608 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1835352981504 + 2169799704576 = 1354752^2 + 1473024^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 97686650860 + ... + 97686650900.

It is an arithmetic number, because the mean of its divisors is an integer number (8730951411).

Almost surely, 2^{4005152686080} is an apocalyptic number.

4005152686080 is a gapful number since it is divisible by the number (40) 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 4005152686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8957956147686).

4005152686080 is an abundant number, since it is smaller than the sum of its proper divisors (13910759609292).

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

4005152686080 is an equidigital number, since it uses as much as digits as its factorization.

4005152686080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 4005152686080 in words is "four trillion, five billion, one hundred fifty-two million, six hundred eighty-six thousand, eighty".