4085129516160 has 3072 divisors, whose sum is σ = 18378565632000. Its totient is φ = 752096378880.

The previous prime is 4085129516137. The next prime is 4085129516219. The reversal of 4085129516160 is 616159215804.

It is a super-2 number, since 2×4085129516160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 42114737232 + ... + 42114737328.

It is an arithmetic number, because the mean of its divisors is an integer number (5982606000).

Almost surely, 2^{4085129516160} is an apocalyptic number.

4085129516160 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 4085129516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9189282816000).

4085129516160 is an abundant number, since it is smaller than the sum of its proper divisors (14293436115840).

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

4085129516160 is a wasteful number, since it uses less digits than its factorization.

4085129516160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The spelling of 4085129516160 in words is "four trillion, eighty-five billion, one hundred twenty-nine million, five hundred sixteen thousand, one hundred sixty".