1035442741248 has 672 divisors, whose sum is σ = 3337091278560. Its totient is φ = 307840942080.

The previous prime is 1035442741243. The next prime is 1035442741301. The reversal of 1035442741248 is 8421472445301.

1035442741248 is a `hidden beast` number, since 1 + 0 + 3 + 544 + 27 + 41 + 2 + 48 = 666.

It is a super-3 number, since 3×1035442741248³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035442741241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2217221911 + ... + 2217222377.

Almost surely, 2^{1035442741248} is an apocalyptic number.

1035442741248 is a gapful number since it is divisible by the number (18) 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 1035442741248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668545639280).

1035442741248 is an abundant number, since it is smaller than the sum of its proper divisors (2301648537312).

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

1035442741248 is a wasteful number, since it uses less digits than its factorization.

1035442741248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 1035442741248 in words is "one trillion, thirty-five billion, four hundred forty-two million, seven hundred forty-one thousand, two hundred forty-eight".