1014026273712 has 160 divisors (see below), whose sum is σ = 3088971668160. Its totient is φ = 317390192640.

The previous prime is 1014026273707. The next prime is 1014026273717. The reversal of 1014026273712 is 2173726204101.

1014026273712 is a `hidden beast` number, since 1 + 0 + 14 + 0 + 2 + 627 + 3 + 7 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (1014026273707) and next prime (1014026273717).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1014026273717) 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 31 ways as a sum of consecutive naturals, for example, 3020512 + ... + 3339392.

It is an arithmetic number, because the mean of its divisors is an integer number (19306072926).

Almost surely, 2^{1014026273712} is an apocalyptic number.

1014026273712 is a gapful number since it is divisible by the number (12) 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 1014026273712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544485834080).

1014026273712 is an abundant number, since it is smaller than the sum of its proper divisors (2074945394448).

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

1014026273712 is a wasteful number, since it uses less digits than its factorization.

1014026273712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319348 (or 319336 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 1014026273712 in words is "one trillion, fourteen billion, twenty-six million, two hundred seventy-three thousand, seven hundred twelve".