1049841005760 has 1008 divisors, whose sum is σ = 4038539259456. Its totient is φ = 249786138624.

The previous prime is 1049841005729. The next prime is 1049841005767. The reversal of 1049841005760 is 675001489401.

1049841005760 is a `hidden beast` number, since 1 + 0 + 498 + 4 + 100 + 57 + 6 + 0 = 666.

It is a super-2 number, since 2×1049841005760² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1049841005767) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3311801122 + ... + 3311801438.

Almost surely, 2^{1049841005760} is an apocalyptic number.

1049841005760 is a gapful number since it is divisible by the number (10) 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 1049841005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019269629728).

1049841005760 is an abundant number, since it is smaller than the sum of its proper divisors (2988698253696).

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

1049841005760 is a wasteful number, since it uses less digits than its factorization.

1049841005760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1049841005760 in words is "one trillion, forty-nine billion, eight hundred forty-one million, five thousand, seven hundred sixty".