1069085041920 has 324 divisors, whose sum is σ = 4302830930580. Its totient is φ = 244362166272.

The previous prime is 1069085041907. The next prime is 1069085041949. The reversal of 1069085041920 is 291405809601.

1069085041920 is a `hidden beast` number, since 106 + 9 + 0 + 8 + 504 + 19 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 212823523584 + 856261518336 = 461328^2 + 925344^2 .

It is a super-2 number, since 2×1069085041920² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 382485 + ... + 1511444.

Almost surely, 2^{1069085041920} is an apocalyptic number.

1069085041920 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 1069085041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151415465290).

1069085041920 is an abundant number, since it is smaller than the sum of its proper divisors (3233745888660).

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

1069085041920 is a wasteful number, since it uses less digits than its factorization.

1069085041920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893970 (or 1893946 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1069085041920 in words is "one trillion, sixty-nine billion, eighty-five million, forty-one thousand, nine hundred twenty".