1041766090560 has 2240 divisors, whose sum is σ = 4510669363200. Its totient is φ = 225740390400.

The previous prime is 1041766090549. The next prime is 1041766090571. The reversal of 1041766090560 is 650906671401.

1041766090560 is a `hidden beast` number, since 10 + 4 + 1 + 76 + 6 + 0 + 9 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (1041766090549) and next prime (1041766090571).

It is a super-2 number, since 2×1041766090560² (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 polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5755613670 + ... + 5755613850.

It is an arithmetic number, because the mean of its divisors is an integer number (2013691680).

Almost surely, 2^{1041766090560} is an apocalyptic number.

1041766090560 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 1041766090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255334681600).

1041766090560 is an abundant number, since it is smaller than the sum of its proper divisors (3468903272640).

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

1041766090560 is a wasteful number, since it uses less digits than its factorization.

1041766090560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 1041766090560 in words is "one trillion, forty-one billion, seven hundred sixty-six million, ninety thousand, five hundred sixty".