1048042017792 has 1188 divisors, whose sum is σ = 3981416048064. Its totient is φ = 262450298880.

The previous prime is 1048042017787. The next prime is 1048042017811. The reversal of 1048042017792 is 2977102408401.

1048042017792 is a `hidden beast` number, since 10 + 48 + 0 + 420 + 177 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 15642418143 + ... + 15642418209.

Almost surely, 2^{1048042017792} is an apocalyptic number.

1048042017792 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 1048042017792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990708024032).

1048042017792 is an abundant number, since it is smaller than the sum of its proper divisors (2933374030272).

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

1048042017792 is a wasteful number, since it uses less digits than its factorization.

1048042017792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 1048042017792 in words is "one trillion, forty-eight billion, forty-two million, seventeen thousand, seven hundred ninety-two".