1491635080728 has 192 divisors, whose sum is σ = 4602605280000. Its totient is φ = 432622612224.

The previous prime is 1491635080651. The next prime is 1491635080757. The reversal of 1491635080728 is 8270805361941.

1491635080728 is a `hidden beast` number, since 1 + 4 + 9 + 1 + 63 + 508 + 0 + 72 + 8 = 666.

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 47 ways as a sum of consecutive naturals, for example, 3328275 + ... + 3749757.

It is an arithmetic number, because the mean of its divisors is an integer number (23971902500).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1491635080728 = 2983270161456, but 3⋅1491635080728 = 4474905242184 is not.

Almost surely, 2^{1491635080728} is an apocalyptic number.

1491635080728 is a gapful number since it is divisible by the number (18) 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 1491635080728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301302640000).

1491635080728 is an abundant number, since it is smaller than the sum of its proper divisors (3110970199272).

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

1491635080728 is a wasteful number, since it uses less digits than its factorization.

1491635080728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421726 (or 421719 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1491635080728 in words is "one trillion, four hundred ninety-one billion, six hundred thirty-five million, eighty thousand, seven hundred twenty-eight".