4396328576640 has 4800 divisors, whose sum is σ = 22774677789600. Its totient is φ = 798870159360.

The previous prime is 4396328576639. The next prime is 4396328576677. The reversal of 4396328576640 is 466758236934.

4396328576640 is a `hidden beast` number, since 4 + 39 + 6 + 3 + 28 + 576 + 6 + 4 + 0 = 666.

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

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 599 ways as a sum of consecutive naturals, for example, 231385714551 + ... + 231385714569.

Almost surely, 2^{4396328576640} is an apocalyptic number.

4396328576640 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 4396328576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11387338894800).

4396328576640 is an abundant number, since it is smaller than the sum of its proper divisors (18378349212960).

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

4396328576640 is a wasteful number, since it uses less digits than its factorization.

4396328576640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 4396328576640 in words is "four trillion, three hundred ninety-six billion, three hundred twenty-eight million, five hundred seventy-six thousand, six hundred forty".