1012391292416 has 120 divisors (see below), whose sum is σ = 2359939467600. Its totient is φ = 433881982464.

The previous prime is 1012391292403. The next prime is 1012391292467. The reversal of 1012391292416 is 6142921932101.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1012391292416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1012391292416² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144627327485 + ... + 144627327491.

It is an arithmetic number, because the mean of its divisors is an integer number (19666162230).

Almost surely, 2^{1012391292416} is an apocalyptic number.

1012391292416 is a gapful number since it is divisible by the number (16) 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 1012391292416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179969733800).

1012391292416 is an abundant number, since it is smaller than the sum of its proper divisors (1347548175184).

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

1012391292416 is an frugal number, since it uses more digits than its factorization.

1012391292416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 9 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The spelling of 1012391292416 in words is "one trillion, twelve billion, three hundred ninety-one million, two hundred ninety-two thousand, four hundred sixteen".