4407683601132 has 288 divisors, whose sum is σ = 13855223316480. Its totient is φ = 1152955140480.

The previous prime is 4407683601127. The next prime is 4407683601173. The reversal of 4407683601132 is 2311063867044.

4407683601132 is a `hidden beast` number, since 4 + 4 + 0 + 7 + 6 + 8 + 3 + 601 + 1 + 32 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107886733 + ... + 107927579.

Almost surely, 2^{4407683601132} is an apocalyptic number.

4407683601132 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 4407683601132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6927611658240).

4407683601132 is an abundant number, since it is smaller than the sum of its proper divisors (9447539715348).

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

4407683601132 is a wasteful number, since it uses less digits than its factorization.

4407683601132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41641 (or 41636 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 4407683601132 in words is "four trillion, four hundred seven billion, six hundred eighty-three million, six hundred one thousand, one hundred thirty-two".