4132676017008 has 1200 divisors, whose sum is σ = 15678176532480. Its totient is φ = 1027458432000.

The previous prime is 4132676016941. The next prime is 4132676017031. The reversal of 4132676017008 is 8007106762314.

4132676017008 is a `hidden beast` number, since 4 + 1 + 32 + 6 + 7 + 601 + 7 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×4132676017008² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4170207393 + ... + 4170208383.

Almost surely, 2^{4132676017008} is an apocalyptic number.

4132676017008 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 4132676017008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7839088266240).

4132676017008 is an abundant number, since it is smaller than the sum of its proper divisors (11545500515472).

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

4132676017008 is a wasteful number, since it uses less digits than its factorization.

4132676017008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 4132676017008 in words is "four trillion, one hundred thirty-two billion, six hundred seventy-six million, seventeen thousand, eight".