4932400933360 has 80 divisors (see below), whose sum is σ = 11528790369120. Its totient is φ = 1962475683840.

The previous prime is 4932400933357. The next prime is 4932400933367. The reversal of 4932400933360 is 633390042394.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 4932400933360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4932400933367) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 149581675 + ... + 149614645.

It is an arithmetic number, because the mean of its divisors is an integer number (144109879614).

Almost surely, 2^{4932400933360} is an apocalyptic number.

4932400933360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4932400933360 is an abundant number, since it is smaller than the sum of its proper divisors (6596389435760).

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

4932400933360 is a wasteful number, since it uses less digits than its factorization.

4932400933360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42866 (or 42860 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 46.

The spelling of 4932400933360 in words is "four trillion, nine hundred thirty-two billion, four hundred million, nine hundred thirty-three thousand, three hundred sixty".