4306375160640 has 2688 divisors, whose sum is σ = 19386435801600. Its totient is φ = 904968142848.

The previous prime is 4306375160627. The next prime is 4306375160669. The reversal of 4306375160640 is 460615736034.

4306375160640 is a `hidden beast` number, since 4 + 3 + 0 + 6 + 37 + 5 + 1 + 606 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 383 ways as a sum of consecutive naturals, for example, 48386237716 + ... + 48386237804.

It is an arithmetic number, because the mean of its divisors is an integer number (7212215700).

Almost surely, 2^{4306375160640} is an apocalyptic number.

4306375160640 is a gapful number since it is divisible by the number (40) 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 4306375160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9693217900800).

4306375160640 is an abundant number, since it is smaller than the sum of its proper divisors (15080060640960).

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

4306375160640 is an equidigital number, since it uses as much as digits as its factorization.

4306375160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 4306375160640 in words is "four trillion, three hundred six billion, three hundred seventy-five million, one hundred sixty thousand, six hundred forty".