4130985605760 has 2048 divisors, whose sum is σ = 17711084160000. Its totient is φ = 902069747712.

The previous prime is 4130985605759. The next prime is 4130985605783. The reversal of 4130985605760 is 675065890314.

4130985605760 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 9 + 8 + 5 + 60 + 576 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4130985605697 and 4130985605706.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20969469982 + ... + 20969470178.

Almost surely, 2^{4130985605760} is an apocalyptic number.

4130985605760 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 4130985605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8855542080000).

4130985605760 is an abundant number, since it is smaller than the sum of its proper divisors (13580098554240).

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

4130985605760 is a wasteful number, since it uses less digits than its factorization.

4130985605760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 4130985605760 in words is "four trillion, one hundred thirty billion, nine hundred eighty-five million, six hundred five thousand, seven hundred sixty".