4166830438848 has 336 divisors, whose sum is σ = 15207384351744. Its totient is φ = 1059265566720.

The previous prime is 4166830438783. The next prime is 4166830438853. The reversal of 4166830438848 is 8488340386614.

4166830438848 is a `hidden beast` number, since 4 + 166 + 8 + 30 + 438 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×4166830438848² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085086 + ... + 3084002.

Almost surely, 2^{4166830438848} is an apocalyptic number.

4166830438848 is a gapful number since it is divisible by the number (48) 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 4166830438848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603692175872).

4166830438848 is an abundant number, since it is smaller than the sum of its proper divisors (11040553912896).

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

4166830438848 is a wasteful number, since it uses less digits than its factorization.

4166830438848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999000 (or 1998987 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 63.

The spelling of 4166830438848 in words is "four trillion, one hundred sixty-six billion, eight hundred thirty million, four hundred thirty-eight thousand, eight hundred forty-eight".