1016091300480 has 512 divisors, whose sum is σ = 3419770613760. Its totient is φ = 256304922624.

The previous prime is 1016091300473. The next prime is 1016091300487. The reversal of 1016091300480 is 840031906101.

It is an interprime number because it is at equal distance from previous prime (1016091300473) and next prime (1016091300487).

It is a super-2 number, since 2×1016091300480² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1016091300487) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 544236507 + ... + 544238373.

It is an arithmetic number, because the mean of its divisors is an integer number (6679239480).

Almost surely, 2^{1016091300480} is an apocalyptic number.

1016091300480 is a gapful number since it is divisible by the number (10) 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 1016091300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709885306880).

1016091300480 is an abundant number, since it is smaller than the sum of its proper divisors (2403679313280).

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

1016091300480 is a wasteful number, since it uses less digits than its factorization.

1016091300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 1016091300480 in words is "one trillion, sixteen billion, ninety-one million, three hundred thousand, four hundred eighty".