4932124942080 has 576 divisors, whose sum is σ = 18295925760000. Its totient is φ = 1109023211520.

The previous prime is 4932124942051. The next prime is 4932124942091. The reversal of 4932124942080 is 802494212394.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 952328931 + ... + 952334109.

It is an arithmetic number, because the mean of its divisors is an integer number (31763760000).

Almost surely, 2^{4932124942080} is an apocalyptic number.

4932124942080 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 4932124942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9147962880000).

4932124942080 is an abundant number, since it is smaller than the sum of its proper divisors (13363800817920).

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

4932124942080 is a wasteful number, since it uses less digits than its factorization.

4932124942080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5780 (or 5766 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 4932124942080 in words is "four trillion, nine hundred thirty-two billion, one hundred twenty-four million, nine hundred forty-two thousand, eighty".