4166076765312 has 1024 divisors, whose sum is σ = 16438339584000. Its totient is φ = 1005467074560.

The previous prime is 4166076765307. The next prime is 4166076765313. The reversal of 4166076765312 is 2135676706614.

4166076765312 is a `hidden beast` number, since 4 + 16 + 607 + 6 + 7 + 6 + 5 + 3 + 12 = 666.

It is a super-2 number, since 2×4166076765312² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4166076765313) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 357382588 + ... + 357394244.

It is an arithmetic number, because the mean of its divisors is an integer number (16053066000).

Almost surely, 2^{4166076765312} is an apocalyptic number.

4166076765312 is a gapful number since it is divisible by the number (42) 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 4166076765312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8219169792000).

4166076765312 is an abundant number, since it is smaller than the sum of its proper divisors (12272262818688).

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

4166076765312 is a wasteful number, since it uses less digits than its factorization.

4166076765312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11794 (or 11776 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 4166076765312 in words is "four trillion, one hundred sixty-six billion, seventy-six million, seven hundred sixty-five thousand, three hundred twelve".