1073909824272 has 160 divisors (see below), whose sum is σ = 3090932405760. Its totient is φ = 356994293760.

The previous prime is 1073909824249. The next prime is 1073909824289. The reversal of 1073909824272 is 2724289093701.

It is a happy number.

1073909824272 is a `hidden beast` number, since 1 + 0 + 7 + 390 + 9 + 8 + 242 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 402061497 + ... + 402064167.

It is an arithmetic number, because the mean of its divisors is an integer number (19318327536).

Almost surely, 2^{1073909824272} is an apocalyptic number.

1073909824272 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 1073909824272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545466202880).

1073909824272 is an abundant number, since it is smaller than the sum of its proper divisors (2017022581488).

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

1073909824272 is a wasteful number, since it uses less digits than its factorization.

1073909824272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4878 (or 4866 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 1073909824272 in words is "one trillion, seventy-three billion, nine hundred nine million, eight hundred twenty-four thousand, two hundred seventy-two".