1027242433272 has 128 divisors (see below), whose sum is σ = 2844897177600. Its totient is φ = 306476438400.

The previous prime is 1027242433271. The next prime is 1027242433307. The reversal of 1027242433272 is 2723342427201.

It is a self number, because there is not a number n which added to its sum of digits gives 1027242433272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027242433271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35556129 + ... + 35585007.

It is an arithmetic number, because the mean of its divisors is an integer number (22225759200).

Almost surely, 2^{1027242433272} is an apocalyptic number.

1027242433272 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 1027242433272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422448588800).

1027242433272 is an abundant number, since it is smaller than the sum of its proper divisors (1817654744328).

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

1027242433272 is a wasteful number, since it uses less digits than its factorization.

1027242433272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30977 (or 30973 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 39.

The spelling of 1027242433272 in words is "one trillion, twenty-seven billion, two hundred forty-two million, four hundred thirty-three thousand, two hundred seventy-two".