4132361011968 has 648 divisors, whose sum is σ = 14311764230400. Its totient is φ = 1122973839360.

The previous prime is 4132361011957. The next prime is 4132361011997. The reversal of 4132361011968 is 8691101632314.

4132361011968 is a `hidden beast` number, since 4 + 1 + 3 + 23 + 610 + 1 + 1 + 9 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 914439213 + ... + 914443731.

Almost surely, 2^{4132361011968} is an apocalyptic number.

4132361011968 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 4132361011968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7155882115200).

4132361011968 is an abundant number, since it is smaller than the sum of its proper divisors (10179403218432).

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

4132361011968 is a wasteful number, since it uses less digits than its factorization.

4132361011968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4669 (or 4621 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 4132361011968 in words is "four trillion, one hundred thirty-two billion, three hundred sixty-one million, eleven thousand, nine hundred sixty-eight".