1017382624272 has 200 divisors, whose sum is σ = 3367198640256. Its totient is φ = 290513101824.

The previous prime is 1017382624259. The next prime is 1017382624277. The reversal of 1017382624272 is 2724262837101.

1017382624272 is a `hidden beast` number, since 1 + 0 + 17 + 3 + 8 + 2 + 624 + 2 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1017382624277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16143928 + ... + 16206824.

Almost surely, 2^{1017382624272} is an apocalyptic number.

1017382624272 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 1017382624272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683599320128).

1017382624272 is an abundant number, since it is smaller than the sum of its proper divisors (2349816015984).

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

1017382624272 is a wasteful number, since it uses less digits than its factorization.

1017382624272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64707 (or 64692 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 1017382624272 in words is "one trillion, seventeen billion, three hundred eighty-two million, six hundred twenty-four thousand, two hundred seventy-two".