4107827857770 has 768 divisors, whose sum is σ = 14632479912960. Its totient is φ = 804495753216.

The previous prime is 4107827857733. The next prime is 4107827857799. The reversal of 4107827857770 is 777587287014.

4107827857770 is a `hidden beast` number, since 410 + 7 + 8 + 2 + 7 + 85 + 77 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 4107827857698 and 4107827857707.

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, 274414846 + ... + 274429814.

It is an arithmetic number, because the mean of its divisors is an integer number (19052708220).

Almost surely, 2^{4107827857770} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4107827857770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7316239956480).

4107827857770 is an abundant number, since it is smaller than the sum of its proper divisors (10524652055190).

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

4107827857770 is a wasteful number, since it uses less digits than its factorization.

4107827857770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15101 (or 15089 counting only the distinct ones).

The product of its (nonzero) digits is 43025920, while the sum is 63.

The spelling of 4107827857770 in words is "four trillion, one hundred seven billion, eight hundred twenty-seven million, eight hundred fifty-seven thousand, seven hundred seventy".