1026470973312 has 192 divisors, whose sum is σ = 3134417045760. Its totient is φ = 334199416320.

The previous prime is 1026470973301. The next prime is 1026470973323. The reversal of 1026470973312 is 2133790746201.

1026470973312 is a `hidden beast` number, since 1 + 0 + 264 + 7 + 0 + 9 + 73 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (1026470973301) and next prime (1026470973323).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 953737 + ... + 1721207.

It is an arithmetic number, because the mean of its divisors is an integer number (16325088780).

Almost surely, 2^{1026470973312} is an apocalyptic number.

1026470973312 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 1026470973312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567208522880).

1026470973312 is an abundant number, since it is smaller than the sum of its proper divisors (2107946072448).

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

1026470973312 is an frugal number, since it uses more digits than its factorization.

1026470973312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767543 (or 767519 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 1026470973312 in words is "one trillion, twenty-six billion, four hundred seventy million, nine hundred seventy-three thousand, three hundred twelve".