1082457129744 has 135 divisors (see below), whose sum is σ = 3050097029343. Its totient is φ = 358367832576.

The previous prime is 1082457129727. The next prime is 1082457129749. The reversal of 1082457129744 is 4479217542801.

It is a happy number.

The square root of 1082457129744 is 1040412.

It is a perfect power (a square), and thus also a powerful number.

1082457129744 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 4 + 571 + 29 + 7 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 826259184144 + 256197945600 = 908988^2 + 506160^2 .

It is not an unprimeable number, because it can be changed into a prime (1082457129749) 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 26 ways as a sum of consecutive naturals, for example, 3458329332 + ... + 3458329644.

Almost surely, 2^{1082457129744} is an apocalyptic number.

1082457129744 is the 1040412-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082457129744

1082457129744 is an abundant number, since it is smaller than the sum of its proper divisors (1967639899599).

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

1082457129744 is an frugal number, since it uses more digits than its factorization.

1082457129744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

It can be divided in two parts, 1082457 and 129744, that added together give a square (1212201 = 1101²).

The spelling of 1082457129744 in words is "one trillion, eighty-two billion, four hundred fifty-seven million, one hundred twenty-nine thousand, seven hundred forty-four".