4108329728640 has 512 divisors, whose sum is σ = 15672777523200. Its totient is φ = 1014114816000.

The previous prime is 4108329728627. The next prime is 4108329728689. The reversal of 4108329728640 is 468279238014.

4108329728640 is a `hidden beast` number, since 410 + 83 + 2 + 9 + 72 + 86 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 12153915 + ... + 12487365.

It is an arithmetic number, because the mean of its divisors is an integer number (30610893600).

Almost surely, 2^{4108329728640} is an apocalyptic number.

4108329728640 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 4108329728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7836388761600).

4108329728640 is an abundant number, since it is smaller than the sum of its proper divisors (11564447794560).

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

4108329728640 is a wasteful number, since it uses less digits than its factorization.

4108329728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333533 (or 333515 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 4108329728640 in words is "four trillion, one hundred eight billion, three hundred twenty-nine million, seven hundred twenty-eight thousand, six hundred forty".