4924340023680 has 3072 divisors, whose sum is σ = 24174426931200. Its totient is φ = 926252236800.

The previous prime is 4924340023639. The next prime is 4924340023693. The reversal of 4924340023680 is 863200434294.

4924340023680 is a `hidden beast` number, since 4 + 9 + 2 + 4 + 3 + 400 + 236 + 8 + 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 (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5233092010 + ... + 5233092950.

It is an arithmetic number, because the mean of its divisors is an integer number (7869279600).

Almost surely, 2^{4924340023680} is an apocalyptic number.

4924340023680 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 4924340023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12087213465600).

4924340023680 is an abundant number, since it is smaller than the sum of its proper divisors (19250086907520).

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

4924340023680 is a wasteful number, since it uses less digits than its factorization.

4924340023680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 4924340023680 in words is "four trillion, nine hundred twenty-four billion, three hundred forty million, twenty-three thousand, six hundred eighty".