4085130240000 has 1120 divisors, whose sum is σ = 15661230552000. Its totient is φ = 1050771456000.

The previous prime is 4085130239989. The next prime is 4085130240031. The reversal of 4085130240000 is 420315804.

4085130240000 is a `hidden beast` number, since 408 + 5 + 13 + 0 + 240 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4008959491 + ... + 4008960509.

Almost surely, 2^{4085130240000} is an apocalyptic number.

4085130240000 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 4085130240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7830615276000).

4085130240000 is an abundant number, since it is smaller than the sum of its proper divisors (11576100312000).

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

4085130240000 is an equidigital number, since it uses as much as digits as its factorization.

4085130240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 4085130240000 its reverse (420315804), we get a palindrome (4085550555804).

The spelling of 4085130240000 in words is "four trillion, eighty-five billion, one hundred thirty million, two hundred forty thousand".