4921019731728 has 320 divisors, whose sum is σ = 15003128627200. Its totient is φ = 1539972725760.

The previous prime is 4921019731681. The next prime is 4921019731729. The reversal of 4921019731728 is 8271379101294.

4921019731728 is a `hidden beast` number, since 4 + 9 + 210 + 1 + 97 + 317 + 28 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4921019731729) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1108085988 + ... + 1108090428.

It is an arithmetic number, because the mean of its divisors is an integer number (46884776960).

Almost surely, 2^{4921019731728} is an apocalyptic number.

4921019731728 is a gapful number since it is divisible by the number (48) 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 4921019731728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7501564313600).

4921019731728 is an abundant number, since it is smaller than the sum of its proper divisors (10082108895472).

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

4921019731728 is a wasteful number, since it uses less digits than its factorization.

4921019731728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5667 (or 5655 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 4921019731728 in words is "four trillion, nine hundred twenty-one billion, nineteen million, seven hundred thirty-one thousand, seven hundred twenty-eight".