4932305330640 has 320 divisors, whose sum is σ = 15954157440000. Its totient is φ = 1258983677952.

The previous prime is 4932305330621. The next prime is 4932305330671. The reversal of 4932305330640 is 460335032394.

It is a junction number, because it is equal to n+sod(n) for n = 4932305330592 and 4932305330601.

It is a congruent number.

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, 505924486 + ... + 505934234.

It is an arithmetic number, because the mean of its divisors is an integer number (49856742000).

Almost surely, 2^{4932305330640} is an apocalyptic number.

4932305330640 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 4932305330640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7977078720000).

4932305330640 is an abundant number, since it is smaller than the sum of its proper divisors (11021852109360).

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

4932305330640 is a wasteful number, since it uses less digits than its factorization.

4932305330640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10414 (or 10408 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 42.

The spelling of 4932305330640 in words is "four trillion, nine hundred thirty-two billion, three hundred five million, three hundred thirty thousand, six hundred forty".